• Title/Summary/Keyword: common solution

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Hybrid Algorithms for Ky Fan Inequalities and Common Fixed Points of Demicontractive Single-valued and Quasi-nonexpansive Multi-valued Mappings

  • Onjai-uea, Nawitcha;Phuengrattana, Withun
    • Kyungpook Mathematical Journal
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    • v.59 no.4
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    • pp.703-723
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    • 2019
  • In this paper, we consider a common solution of three problems in real Hilbert spaces: the Ky Fan inequality problem, the variational inequality problem and the fixed point problem for demicontractive single-valued and quasi-nonexpansive multi-valued mappings. To find the solution we present a new iterative algorithm and prove a strong convergence theorem under mild conditions. Moreover, we provide a numerical example to illustrate the convergence behavior of the proposed iterative method.

A NEW MAPPING FOR FINDING A COMMON SOLUTION OF SPLIT GENERALIZED EQUILIBRIUM PROBLEM, VARIATIONAL INEQUALITY PROBLEM AND FIXED POINT PROBLEM

  • Farid, Mohammad;Kazmi, Kaleem Raza
    • Korean Journal of Mathematics
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    • v.27 no.2
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    • pp.297-327
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    • 2019
  • In this paper, we introduce and study a general iterative algorithm to approximate a common solution of split generalized equilibrium problem, variational inequality problem and fixed point problem for a finite family of nonexpansive mappings in real Hilbert spaces. Further, we prove a strong convergence theorem for the sequences generated by the proposed iterative scheme. Finally, we derive some consequences from our main result. The results presented in this paper extended and unify many of the previously known results in this area.

A NEW RELAXED TSENG METHOD FOR FINDING A COMMON SOLUTION OF FIXED POINT AND SPLIT MONOTONE INCLUSION PROBLEMS

  • Lusanda Mzimela;Akindele Adebayo Mebawondu;Adhir Maharaj;Chinedu Izuchukwu;Ojen Kumar Narain
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.1
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    • pp.225-258
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    • 2024
  • In this paper, we study the problem of finding a common solution to a fixed point problem involving a finite family of ρ-demimetric operators and a split monotone inclusion problem with monotone and Lipschitz continuous operator in real Hilbert spaces. Motivated by the inertial technique and the Tseng method, a new and efficient iterative method for solving the aforementioned problem is introduced and studied. Also, we establish a strong convergence result of the proposed method under standard and mild conditions.

Decomposition Characteristics and Seedling Growth of Common Reed (Phragmites australis) by Salt Concentration in Saemangeum Reclaimed Land (새만금 간척지에서 염농도에 따른 갈대(Phragmites australis) 유묘 생장 및 분해 특성)

  • Oh, Yang-Yeol;Kim, Sun;Ryu, Jin-Hee;Lee, Su-Hwan;Lee, Jung-Tae;Bae, Hui-Su;Kim, Young-Joo;Kim, Kil-Young
    • Journal of Environmental Science International
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    • v.28 no.12
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    • pp.1061-1069
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    • 2019
  • Common reed (Phragmites australis) is widespread in reclaimed land and wetland habitats. Every year, the common reed produces extensive colonies by means of underground rhizomes and ground-surface stolons. From an agricultural point of view, the common reed's large biomass is a good material for supplying organic matter. However, it has not yet been studied in terms of seedling production, transplanting conditions, and decomposition characteristics in reclaimed land. Seeds were harvested from the native common reed in Saemangeum, South Korea, the previous year and stored on an open field. The seeds were sowed in the greenhouse at the beginning of April. Common reed decomposition was studied from June to September, with the use of coarse mesh (5 mm) stem litterbags, on three samping dates and with five replicate packs per sample. These packs were dug in five soil condition (low-salinity topsoil, subsoil, high-salinity topsoil, subsoil, paddy topsoil) to 0.2 m and 0.4 m depth. The highest germination rate of common reed seeds was observed in non-salt solution, but the exhibited germination rate was 70% at 9.38 dS m-1. The plant height of young reed decreased steadily with increasing salinity, but leaf number did not decrease by 9.38 dS m-1. The survival rate of the two-year-old reed was 83.3%, which was 35% higher than that of the one-year reed. The transplant success rate was 0% in the no vinyl mulching in the soil, but the first year and second year seedlings survived rates were 63% and 83.3%, respectively, in vinyl mulching. Common reed decomposition rates were faster low salinity than high salinity. All nutrient contents were found to fluctuate significantly with time by soil conditions. We also need to study the growth rate of reed transplanting seedlings by soil moisture contents and the comparison of degradation in common reed tissues.

A Feasibility Study for Application of Single-Chip Solution for Diagnostic Resting ECG (ECG 원칩 솔루션의 진단용 심전계 적용을 위한 타당성 연구)

  • Kang, Bum-Sun;Choi, Gi Sang
    • Journal of Biomedical Engineering Research
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    • v.36 no.4
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    • pp.86-94
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    • 2015
  • In order for medical devices to be used outside hospital, they have to be not only of small size but also power consumption has to be kept at low level. This study investigates the feasibility of application of ADS1298 ECG single-chip solution developed by Texas Instruments Inc. for use in development of a new platform for diagnostic resting ECG. To prove the feasibility of commercial products based on the ADS1298 chip, the performance of the ADS1298 chip was measured in terms of input impedance, common mode rejection, frequency response, and input dynamic range using the testing method under the suitability criteria of the IEC 60601-2-25 standard. Result of the this study shows that commercialization of the ECG products based on the ADS1298 ECG single-chip solution that satisfies the international standards would be possible, if the manufactures take the filter characteristics into account in building a new platform for diagnostic resting ECG.

Economic Analysis on low Input Rice Cultivation (저투입벼 재배에 관한 경영사례분석)

  • Shin, Yong-In;Park, Joo-Sub
    • Korean Journal of Agricultural Science
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    • v.23 no.2
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    • pp.285-300
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    • 1996
  • This study is aimed to provide data of low-input rice cultivation for agricultural policy, to reveal the problems of low-input cultivation through comparing the economic result of low-input cultivation with the common one, to search for solution or mitigation of the problems of low-input cultivation, and to forecast the future prospect of low-input rice cultivation. The following were the results obtained from the survey and analysis. The working hours per 10a inputted 45.4 hours which is 32% more than 34.5 hours of common cultivation. Yield per 10a was 355kg which was 101kg less than 456kg of common cultivation. But the farm received price per kg was 1,984.9 won which was 547.9 won more than 1,436.5 won of common cultivation. Gross receipts per 10a was 704,438 won which was higher than 655,044 won of common cultivation, and management cost was 230,820 won which slightly higher than 188,157 won of common cultivation. Consequently, the income of low-input rice cultivation was 473,617 won which somewhat exceed to 466,887 won of common cultivation.

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An Analytic Solution to Projector Pose Estimation Problem

  • Lee, Joo-Haeng
    • ETRI Journal
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    • v.34 no.6
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    • pp.978-981
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    • 2012
  • We present an analytic solution to the projector pose estimation problem for the pinhole projection model in which the source image is a centered rectangle with an unknown aspect ratio. From a single quadrilateral given as a target image, our solution gives the position and orientation of a projector as well as the aspect ratio of a source image. The proposed method decomposes the problem into two pose estimation problems of coupled line projectors aligned at each diagonal of the given quadrilateral and then computes the common solution that satisfies the relevant geometric constraints. The solution is formulated as simple analytic equations. We also provide a determinant of projectability of an arbitrary quadrilateral.

An FCA-based Solution for Ontology Mediation

  • Cure, Olivier;Jeansoulin, Robert
    • Journal of Computing Science and Engineering
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    • v.3 no.2
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    • pp.90-108
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    • 2009
  • In this paper, we present an ontology mediation solution based on the methods frequently used in Formal Concept Analysis. Our approach of mediation is based on the existence of instances associated to two source ontologies, then we can generate concepts in a new ontology if and only if they share the same extent. Hence our approach creates a merged ontology which captures the knowledge of these two source ontologies. The main contributions of this work are (i) to enable the creation of concepts not originally in the source ontologies, (ii) to propose a solution to label these emerging concepts and finally (iii) to optimize the resulting ontology by eliminating redundant or non pertinent concepts. Another contribution of this work is to emphasize that several forms of mediated ontology can be defined based on the relaxation of certain criteria produced from our method. The solution that we propose for tackling these issues is an automatic solution, meaning that it does not require the intervention of the end-user, excepting for the definition of the common set of ontology instances.

An efficient solution algorithm of the optimal load distribution for multiple cooperating robots

  • Choi, Myoung-Hwan;Lee, Hum-Hee
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.501-506
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    • 1993
  • An efficient solution algorithm of the optimal load distribution problem with joint torque constraints is presented. Multiple robot system where each robot is rigidly grasping a common object is considered. The optimality criteria used is the sum of weighted norm of the joint torque vectors. The maximum and minimum bounds of each joint torque in arbitrary form are considered as constraints, and the solution that reduces the internal force to zero is obtained. The optimal load distribution problem is formulated as a quadratic optimization problem in R, where I is the number of robots. The general solution can be obtained using any efficient numerial method for quadratic programming, and for dual robot case, the optimal solution is given in a simple analytical form.

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GENERALISED COMMON FIXED POINT THEOREM FOR WEAKLY COMPATIBLE MAPPINGS VIA IMPLICIT CONTRACTIVE RELATION IN QUASI-PARTIAL Sb-METRIC SPACE WITH SOME APPLICATIONS

  • Lucas Wangwe;Santosh Kumar
    • Honam Mathematical Journal
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    • v.45 no.1
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    • pp.1-24
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    • 2023
  • In the present paper, we prove common fixed point theorems for a pair of weakly compatible mappings under implicit contractive relation in quasi-partial Sb-metric spaces. We also provide an illustrative example to support our results. Furthermore, we will use the results obtained for application to two boundary value problems for the second-order differential equation. Also, we prove a common solution for the nonlinear fractional differential equation.