• Title/Summary/Keyword: Complementarity Theory

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INERTIAL EXTRAPOLATION METHOD FOR SOLVING SYSTEMS OF MONOTONE VARIATIONAL INCLUSION AND FIXED POINT PROBLEMS USING BREGMAN DISTANCE APPROACH

  • Hammed A. Abass;Ojen K. Narain;Olayinka M. Onifade
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.2
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    • pp.497-520
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    • 2023
  • Numerous problems in science and engineering defined by nonlinear functional equations can be solved by reducing them to an equivalent fixed point problem. Fixed point theory provides essential tools for solving problems arising in various branches of mathematical analysis, such as split feasibility problems, variational inequality problems, nonlinear optimization problems, equilibrium problems, complementarity problems, selection and matching problems, and problems of proving the existence of solution of integral and differential equations.The theory of fixed is known to find its applications in many fields of science and technology. For instance, the whole world has been profoundly impacted by the novel Coronavirus since 2019 and it is imperative to depict the spread of the coronavirus. Panda et al. [24] applied fractional derivatives to improve the 2019-nCoV/SARS-CoV-2 models, and by means of fixed point theory, existence and uniqueness of solutions of the models were proved. For more information on applications of fixed point theory to real life problems, authors should (see [6, 13, 24] and the references contained in).

GENERALIZED SYSTEMS OF RELAXED $g-{\gamma}-r-COCOERCIVE$ NONLINEAR VARIATIONAL INEQUALITIES AND PROJECTION METHODS

  • Verma, Ram U.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.7 no.2
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    • pp.83-94
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    • 2003
  • Let K be a nonempty closed convex subset of a real Hilbert space H. Approximation solvability of a system of nonlinear variational inequality (SNVI) problems, based on the convergence of projection methods, is given as follows: find elements $x^*,\;y^*{\in}H$ such that $g(x^*),\;g(y^*){\in}K$ and $$<\;{\rho}T(y^*)+g(x^*)-g(y^*),\;g(x)-g(x^*)\;{\geq}\;0\;{\forall}\;g(x){\in}K\;and\;for\;{\rho}>0$$ $$<\;{\eta}T(x^*)+g(y^*)-g(x^*),\;g(x)-g(y^*)\;{\geq}\;0\;{\forall}g(x){\in}K\;and\;for\;{\eta}>0,$$ where T: $H\;{\rightarrow}\;H$ is a relaxed $g-{\gamma}-r-cocoercive$ and $g-{\mu}-Lipschitz$ continuous nonlinear mapping on H and g: $H{\rightarrow}\;H$ is any mapping on H. In recent years general variational inequalities and their algorithmic have assumed a central role in the theory of variational methods. This two-step system for nonlinear variational inequalities offers a great promise and more new challenges to the existing theory of general variational inequalities in terms of applications to problems arising from other closely related fields, such as complementarity problems, control and optimizations, and mathematical programming.

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Analyzing the Effects of Knowledge Intensity on the Relationships between Knowledge Sourcing Strategies and Firm Performance (지식집중화 정도가 지식소싱 전략과 기업성과 간의 관계에 미치는 효과 분석)

  • Choi, Byounggu;Lee, Jae-Nam
    • Knowledge Management Research
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    • v.16 no.1
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    • pp.1-19
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    • 2015
  • Although the interaction effects of knowledge sourcing strategies vary depending on environmental conditions such as knowledge intensity, most prior empirical research have failed to prove the effects of environmental conditions on the relationship between knowledge sourcing strategies and firm performance. In order to fill this gap, this study examines how knowledge intensity affects the relationship between knowledge sourcing strategies and firm performance. The results of this study indicate the interaction effects of knowledge sourcing strategies in high knowledge intensity environment are different from the effects in low knowledge intensity environment. This study expands knowledge management research by identifying the effects of knowledge intensity on the relationship between knowledge sourcing strategies and firm performance. Furthermore, it offers valuable practical guidelines for managers in selecting successful combinations of knowledge sourcing strategies with the consideration of knowledge intensity.

Optimal ESS Investment Strategies for Energy Arbitrage by Market Structures and Participants

  • Lee, Ho Chul;Kim, Hyeongig;Yoon, Yong Tae
    • Journal of Electrical Engineering and Technology
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    • v.13 no.1
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    • pp.51-59
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    • 2018
  • Despite the advantages of energy arbitrage using energy storage systems (ESSs), the high cost of ESSs has not attracted storage owners for the arbitrage. However, as the costs of ESS have decreased and the price volatility of the electricity market has increased, many studies have been conducted on energy arbitrage using ESSs. In this study, the existing two-period model is modified in consideration of the ESS cost and risk-free contracts. Optimal investment strategies that maximize the sum of external effects caused by price changes and arbitrage profits are formulated by market participants. The optimal amounts of ESS investment for three types of investors in three different market structures are determined with game theory, and strategies in the form of the mixed-complementarity problem are solved by using the PATH solver of GAMS. Results show that when all market participants can participate in investment simultaneously, only customers invest in ESSs, which means that customers can obtain market power by operating their ESSs. Attracting other types of ESS investors, such as merchant storage owners and producers, to mitigate market power can be achieved by increasing risk-free contracts.

The Effect of Resource, Mechanism Relatedness and Gap on International Knowledge Transfer (본사 자원과 메커니즘의 유사성과 격차가 합작투자기업의 학습효과에 미치는 영향)

  • Cho, Hyung Gi
    • Knowledge Management Research
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    • v.11 no.4
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    • pp.41-66
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    • 2010
  • This research examines the effect of the relatedness and the gap between Resources and mechanisms on effectiveness of inter-organizational knowledge transfer. According to the literature, there has been a competing theory between two claims; one is that inter-organizational knowledge transfer will be more effective due to the reduction of the transaction cost as the relatedness increases. And the other is that the mutual complementarity of different organizational characteristics will increase synergy. In total, the relatedness and the gap of the Resource and mechanism makes the inverted U-shaped relationship with the inter-organizational knowledge transfer. As the result of empirical analysis about 109 Korean-based Joint Ventures entered country, it shows that the relatedness of parent company's production Resources, learning mechanisms, and coordination mechanisms made the inverted U-shaped relations with the inter-organizational knowledge transfer and the gap of production Resources and adjustment mechanism formed the same relationship. However, the U-shaped relationship has been established in the relatedness of market Resources, but the gap of market Resources and the learning mechanism was not statistically significant. Through this study, I can draw a best conclusion that the inter-organizational knowledge transfer will be more effective when the relatedness and the gap of management resources and mechanisms is in optimal level. However, when it comes to market Resources, it can be inferred that the result could be the opposite because the partner country's market environment would be different.

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Sublimity embedded in the works of internationally recognized Korean fashion designers - Interpretation of in-depth meaning applying Greimas semiotic square - (해외에서 활동하는 한국 패션디자이너의 작품에 나타난 숭고미 - 그레마스 기호사각형을 통한 기저의미 해석 -)

  • Ji, Jeong Sook;Lee, Yhe-Young
    • The Research Journal of the Costume Culture
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    • v.30 no.5
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    • pp.752-765
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    • 2022
  • Clothing, as a signsystem, implies many different meanings according to different circumstances. Korean fashion designers' designs also imply various meanings. Therefore, the purpose of this study is the exploration of Korean fashion designers' design characteristics through Greimas' Semiotic Square. As sublimity is the most representative characteristic of modern fashion design, this study discusses the in-depth aesthetic meaning innated in Korean fashion design through the semiotic square proposed by Greimas. To fulfill this goal, Korean fashion designers were sought after on the internet; consequently, four Korean designers became subjects for the analysis. Their collections were analyzed according to predefined criteria adopted and modified from previous studies. Sublimity characteristics were applied to Greimas' and Floch's semiotic squares for further interpretation. Results of the study indicate that sublimity, which is typically found in Korean fashion designs, varies depending on different points of view. In terms of culture, this study discovered a relationship of contrariety between sublimity and beauty. This finding opposes the theory of Greimas' semiotic square, in which sublimity stands as a contradictory of the technician. According to the culture industry theory, suggested by Held, the technician is an implication of sublimity. Through a technician, sublimity may pose as a complementarity or implication of beauty. Finally, sublimity might substitute beauty as well; furthermore, it constitutes practical valorization in the semiotic square of Floch. Moreover, the artist present as a ludic valorization stands as a contradictory, while art, serving as a utopian valorization, enacts as a contrary.

Theory of Network city and perspective on development of the Yeongnam region (네트워크도시 이론과 영남권 지역의 발전 전망)

  • Choi, Byung-Doo
    • Journal of the Korean association of regional geographers
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    • v.21 no.1
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    • pp.1-20
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    • 2015
  • This paper is to provide some suggestions to complement and extend theory of network city, and to consider preliminarily its applicability for development of the Yeongnam region, exploring its normative implications for urban and regional policy and its significance of empirical research. In order to resolve some limitations and problems of network city theory and of empirical research, we need to reconsider systematically analysis methods, to extend indices of connectivity, to reconfirm normative characters inherent in network city theory, to suggest the constitution of cooperative governance, and to develop policies for embedding functional connectivity into internal community. In a preliminary analysis of Yeongnam region on the basis of network city theory, it is not clear whether the urban system of the region is entirely a type of network city, even though it seems to be close to network city. However, in order for the Yeongnam region to orient towards network city, we can point out importance of policy issues such as expansion of transportation and communication infrastructure, strengthening of economic connectivity, constitution of cooperative governance, and local embeddedness of functional network within the region.

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Haewon Sangsaeng and the Theory of Desire in Psychoanalysis: a Comparison Focused on Mourning (해원상생과 정신분석의 욕망이론 - 애도를 중심으로 -)

  • Kim, Seok
    • Journal of the Daesoon Academy of Sciences
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    • v.28
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    • pp.73-102
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    • 2017
  • This paper is an attempt to find commonality and complementarity between psychanalysis and Daesoon thought, while understanding the practical meaning of the Haewon-Sangsaeng, which is one of the religious doctrines of Daesoon Jinrihoe, in terms of the theory of desire posited by psychoanalysis. There is a common point between Daesoon thought and psychoanalytic theory since both ideas give importance to desire. The Haewon idea is similar to that of psychoanalytic theory, which emphasizes restoring desire through mourning and realizing it within a structure of inter-subjectivity. Of course, the meaning of desire in Daesoon thought, given its status as a religious doctrine, is polysemous, and the orientation of this type of desire is also different from that of psychoanalysis given psychoanalysis's role as a therapeutic discourse. However, Daesoon thought explains that the pain and unhappiness suffered by human beings occurs because of mutual overcoming which is a relational style wherein desire can not be solved properly for either party involved in an interaction. Mutual overcoming is a state of mutual beneficience beyond the previous state of mutual overcoming. Likewise, psychoanalysis seems to accept the loss of the object through mourning, and in this way, desire is reactivated. Daesoon thought emphasizes the importance of social and cosmic systems like mutual beneficience and the reordering of the Universe and these systems have a commonality with psychoanalysis as psychoanalysis sees desire positively within the structure of inter-subjectivity. The direction of social practice in Daesoon thought and psychoanalysis both aim at the realization of a new universality. The inter-subjectivity structure suggests desire of recognition and recognition of desire as a way of practice because desire is not personal but rather social. In conclusion, we should not stop at resolving our own individual desires, but should instead go forward in solidarity toward the achieving the common good.

An Inquiry into the Meaning of "Sasang" in the I Ching and Its Relationship to the Sasang Medicine (주역의 '사상'과 사상의학의 '사상'의 연관성에 관한 고찰)

  • Lee, Sung-hwan;Kim, Ki-hyon
    • Journal of Sasang Constitutional Medicine
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    • v.12 no.1
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    • pp.24-36
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    • 2000
  • Purpose : Many believe that the Sasang mentioned in the I Ching and the Sasang of Sasang Medicine (as expounded by Dr. Lee Je-ma in the book Longevity and Life Preservation in Oriental Medicine) refer to different concepts. This is untrue. In order to understand the thought patterns of Dr. Lee Je-ma and his book, it is necessary to first understand the concepts of the I Ching. The I Ching was the most respected text in Dr. Lee Je-ma time, and served as the foundation upon which his medicine stood. The purpose of this research is to understand the concept of Sasang in the I Ching and how it applies to the Sasang medicine. Method : The authors first defined the term Sasang according to the theory of I Ching. It was then discussed in relation to theories of modern science. Inferences were made as to how Sasang corresponds to the terminologies and concepts of modern science. The characteristics of Sasang interpreted through modern science were then applied to the physiology, pathology and pharmacology of Sasang Medicine. Results and Conclusion : 1. The Sasang theory of the I Ching organizes seemingly random and isolated natural phenomena into four distinct groups according to various attributes. The particular characteristics representing each of these four categories are known as Sasang. 2. The Sasang theory of I Ching has a strong correlation to the Theory of Relativity and the Theory of Complementarity, as well as the Digital and Fractal Theories. 3. By applying the Sasang Theory to various fields, the seemingly unrelated principles of physics, chemistry, biology and medicine can be seen as parts of a whole. 4. Sasang Medicine categorizes human morphology, physiology and pharmacology into four categories according to the characteristics defined by the Sasang Theory of the I Ching. 5. Grouping new discoveries of modern physics, chemistry, biology and medicine according to the Sasang Theory will bring to light the intricacies of the Sasang Theory while facilitating the incorporation of modern science into Sasang Medicine.

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A Conceptual Study of the underdevelopment of the British Multinational Corporations, 1870-1914: from the perspective of the network theory (1870-1914년 영국의 초국적 기업 발전을 저해한 요인 분석: 연결망(네트워크) 이론의 개념적 적용)

  • Yang, Oh Suk;Kang, Won Taek
    • Journal of International Area Studies (JIAS)
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    • v.14 no.1
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    • pp.129-153
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    • 2010
  • The guiding research question of this paper is to discover 'why the UK could not develop a general structure in which transnational corporations were born during the end of the 19th ~ beginning of the 20th century like other countries'. In response to this question, although acknowledging its imperfections, the author would like to explore the causality in the context of 'Social Construction' which is reflected in the attributes of British society. As such, researchers are strongly recommended to take into account the actors' interests and the increased value effect of events which is driven by control power. This paper concludes that: firstly, not only was contempt for industrial capitalism prevalent in British society, the British government was unable to recognize the necessity of promoting policies for the development of transnational corporation. In addition, the increase in the clout of commercial-financial capitalists in the city of London along with the expansion of gentlemanly elites interfered with the transnationality of British companies. Secondly, the foundation of the political and economic structures in the UK experienced continuity and challenge simultaneously. Since the 1850's, the British social structure has been progressively characterized by the strengthening power of the commercial-financial elites in London, which resulted not in the transnationality of manufacturing but that of financial services. Finally, the configuration of the social network driven by the British elites consists of the actors' interests and control power in association with severance and connection. Unlike the complementarity of interests, in the initial stage, intended connection based on voluntary motivation between gentries and commercial-financial elites occurred in terms of control power. However, ultimately, the holding of power was transferred to the commercial-financial elites excluding the industrial capitalists and resulted in the reconfiguration of the social network.