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FIXED POINT RESULTS IN SOFT RECTANGULAR b-METRIC SPACE

  • Sonam;C. S. Chauhan;Ramakant Bharadwaj;Satyendra Narayan
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.3
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    • pp.753-774
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    • 2023
  • The fundamental aim of the proposed work is to introduce the concept of soft rectangular b-metric spaces, which involves generalizing the notions of rectangular metric spaces and b-metric spaces. Furthermore, an investigation into specific characteristics and topological aspects of the underlying generalization of metric spaces is conducted. Moreover, the research establishes fixed point theorems for mappings that satisfy essential criteria within soft rectangular b-metric spaces. These theorems offer a broader perspective on established results in fixed point theory. Additionally, several congruous examples are presented to enhance the understanding of the introduced spatial framework.

A Study on the Concept and Attributes of Sea Power for Evaluation of Maritime Power (해양력 평가를 위한 해양력의 개념과 속성에 관한 연구)

  • Lim, B.T.;Lee, C.Y.
    • Journal of Korean Port Research
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    • v.11 no.2
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    • pp.295-304
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    • 1997
  • For evaluation of maritime power, the attributes of sea power are identified in this paper by system analysis method. A many fundmental factors of sea power are selected by survey of the extensive and thorough literatures on maritime power. And the factors are classified into 11 standard attributes by cluster method. The 11 standard attributes are as follows: geographical condition, character of territory, character of the people, maritime will of the government, shipping power, navel power, shipbuilding power, fishing power, ocean research and development, dependence on seaborne trade, number of ocean population. As the sub-attributes of the standard attributes, 37 composite factors and some basic factors are defined through careful survey and discussion with some experts. As the result of this study, the maritime power is systematically identified as maritime power system. And it is realized that the evalution of maritime power system is the hybrid MADM problem with both quantitative and qualitative factors.

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ON GRADED J-IDEALS OVER GRADED RINGS

  • Tamem Al-Shorman;Malik Bataineh;Ece Yetkin Celikel
    • Communications of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.365-376
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    • 2023
  • The goal of this article is to present the graded J-ideals of G-graded rings which are extensions of J-ideals of commutative rings. A graded ideal P of a G-graded ring R is a graded J-ideal if whenever x, y ∈ h(R), if xy ∈ P and x ∉ J(R), then y ∈ P, where h(R) and J(R) denote the set of all homogeneous elements and the Jacobson radical of R, respectively. Several characterizations and properties with supporting examples of the concept of graded J-ideals of graded rings are investigated.

𝓗(ω, θ)-CONTRACTION AND SOME NEW FIXED POINT RESULTS IN MODIFIED ω-DISTANCE MAPPINGS VIA COMPLETE QUASI METRIC SPACES AND APPLICATION

  • Abedalkareem Alhazimeh;Raed Hatamleh
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.2
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    • pp.395-405
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    • 2023
  • In this manuscript, we establish the concept of 𝓗(ω, θ)-contraction which based on modified ω distance mappings which introduced by Alegre and Marin [4] in 2016 and 𝓗 simulation functions which introduced by Bataihah et.al. [14] in 2020 and we employ our contraction to prove the existence and uniqueness some new fixed point results. On the other hand, we create some examples and an application to show the importance of our results.

FERMATEAN FUZZY TOPOLOGICAL SPACES

  • IBRAHIM, HARIWAN Z.
    • Journal of applied mathematics & informatics
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    • v.40 no.1_2
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    • pp.85-98
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    • 2022
  • The purpose of this paper is to introduce the notion of Fermatean fuzzy topological space by motivating from the notion of intuitionistic fuzzy topological space, and define Fermatean fuzzy continuity of a function defined between Fermatean fuzzy topological spaces. For this purpose, we define the notions of image and the pre-image of a Fermatean fuzzy subset with respect to a function and we investigate some basic properties of these notions. We also construct the coarsest Fermatean fuzzy topology on a non-empty set X which makes a given function f from X into Y a Fermatean fuzzy continuous where Y is a Fermatean fuzzy topological space. Finally, we introduce the concept of Fermatean fuzzy points and study some types of separation axioms in Fermatean fuzzy topological space.

Research on AI Painting Generation Technology Based on the [Stable Diffusion]

  • Chenghao Wang;Jeanhun Chung
    • International journal of advanced smart convergence
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    • v.12 no.2
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    • pp.90-95
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    • 2023
  • With the rapid development of deep learning and artificial intelligence, generative models have achieved remarkable success in the field of image generation. By combining the stable diffusion method with Web UI technology, a novel solution is provided for the application of AI painting generation. The application prospects of this technology are very broad and can be applied to multiple fields, such as digital art, concept design, game development, and more. Furthermore, the platform based on Web UI facilitates user operations, making the technology more easily applicable to practical scenarios. This paper introduces the basic principles of Stable Diffusion Web UI technology. This technique utilizes the stability of diffusion processes to improve the output quality of generative models. By gradually introducing noise during the generation process, the model can generate smoother and more coherent images. Additionally, the analysis of different model types and applications within Stable Diffusion Web UI provides creators with a more comprehensive understanding, offering valuable insights for fields such as artistic creation and design.

Optical Design for UVOMPIS and Design Concept of the Mirror Holder

  • Park, Woojin;Chang, Seunghyuk;Pak, Soojong;Han, Jimin;Ahn, Hojae;Lee, Sunwoo;Kim, Geon Hee;Lee, Dae-Hee
    • The Bulletin of The Korean Astronomical Society
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    • v.45 no.1
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    • pp.66.3-66.3
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    • 2020
  • We present the optical design of Linear Astigmatism Free - Three Mirror System (LAF-TMS) D200 for UVO-Multiband Polarizing Imager System (UVOMPIS). LAF-TMS D200 is the off-axis wide-field telescope with EPD = 200 mm, F/2, and Field of View (FoV) = 2° × 4°. Its optical mirrors are optimized to freeform surfaces for high-quality optical performance over a wide FoV. The proposed mirror holder consists of four aluminum optomechanical modules that have applied for LAF-TMS D150 which is a prototype of the LAF-TMS system. It can accurately mount mirrors and also can sustain from vibration environments. As a feasibility study, quasi-static, modal, harmonic, and random vibration analyses have been performed to LAF-TMS D150 optomechanical structure under the qualification level of the Soyuz-2/Fregat launch system. We evaluate the vibration analysis results in terms of von Mises stress and Margin of Safety.

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A COMMON FIXED POINT THEOREM IN AN M*-METRIC SPACE AND AN APPLICATION

  • Gharib, Gharib M.;Malkawi, Abed Al-Rahman M.;Rabaiah, Ayat M.;Shatanawi, Wasfi A.;Alsauodi, Maha S.
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.2
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    • pp.289-308
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    • 2022
  • In this paper, we introduce the concept of M*-metric spaces and how much the M*-metric and the b-metric spaces are related. Moreover, we introduce some ways of generating M*-metric spaces. Also, we investigate some types of convergence associated with M*-metric spaces. Some common fixed point for contraction and generalized contraction mappings in M*-metric spaces. Our work has been supported by many examples and an application.

Successful Brand Revitalization of Parkland through Brand Repositioning Strategy

  • Jeon, Jung Ok;Jung, Hyung-Shik;Lee, Sukekyu;Lee, Eun Mi
    • Asia Marketing Journal
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    • v.16 no.3
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    • pp.101-118
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    • 2014
  • Parkland, which is one of the pioneer brands in men's fashion in Korea, specifically suits, has recently undertaken bold brand repositioning activities to respond to the fast-changing environment and to overcome limitations in its current image positioning. As a result, in a short time period, Parkland achieved remarkable marketing and communication success. This case study explains how Parkland drew successful brand repositioning from the fierce fashion market. This study systematically analyzes the brand repositioning strategy process and implementation strategy used to resolve the conceptual and structural issues of Parkland as a mature brand. To this end, this study assesses Parkland's brand strategy focusing on brand environment and positioning. Accordingly, the study analyzes the target concept and basic direction of the brand repositioning in terms of the repositioning strategy process, and from an integrated marketing perspective, examines the specific implementation program for repositioning. Finally, the study addresses the outcomes of brand repositioning efforts as well as steps to be taken in the future.

A Study on the Development of Learning Model for Improving Collaborative Creativity Based on CPS

  • PARK, Eunsook
    • Educational Technology International
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    • v.7 no.2
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    • pp.23-44
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    • 2006
  • As the educational paradigm has shifted from the traditional knowledge oriented instruction learning to the knowledge product oriented instructional learning, the development of student's creativity becomes one of the most important educational goals, because the ability that can produce the knowledge creatively is required in the digital information knowledge based society. The purpose of this study is to make a basic direction and strategy for the instructional design to develop an on and off line blended instructional design which will help a learning community to be a more collaborative and creative learning community. This research has investigated the concept and the characteristics of collaborative creativity and creative problem solving as the theoretical basis of the design. After that, on the basis of the theories connected with the collaborative creativity theory, the direction and the strategies for the development of collaborative creativity was designed. The design was applied into the real learning community and finally proved the effectiveness of the learning model for the development of the collaborative creativity by the quantitative evaluation.