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An Iterative Method for Equilibrium and Constrained Convex Minimization Problems

Mohammad Mehdi Shabani|Saeed Hashemi Sababe|Maryam Yazdi
경북대학교 자연과학대학 수학과|2022.03|Kyungpook Mathematical Journal|제62권 제1호|pp. 89-106|DOI https://doi.org/10.5666/KMJ.2022.62.1.89

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참고문헌

키워드

fixed pointiterative methodvariational inequalityequilibrium problemNonexpansive mappingconvex minimizationaveraged mapping
주제분류수학

초록

We are concerned with finding a common solution to an equilibrium prob lem associated with a bifunction, and a constrained convex minimization problem. Wepropose an iterative fixed point algorithm and prove that the algorithm generates a se quence strongly convergent to a common solution. The common solution is identified asthe unique solution of a certain variational inequality.

Abstract

We are concerned with finding a common solution to an equilibrium prob lem associated with a bifunction, and a constrained convex minimization problem. Wepropose an iterative fixed point algorithm and prove that the algorithm generates a se quence strongly convergent to a common solution. The common solution is identified asthe unique solution of a certain variational inequality.

참고문헌 (28)

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Fixed point solution methods for solving equilibrium problemsNguyen Duc Hien, Pham Ngoc Anh대한수학회 · 대한수학회보2014 · 제51권 제2호Weak and strong convergence of subgradient extragradient methods for pseudomonotone equilibrium problemsDang Van Hieu대한수학회 · 대한수학회논문집2016 · 제31권 제4호An iterative method for solving equilibrium problem fixed point problem and generalized variational inequalities problemJuchun Li, Lijuan Zhang영남수학회 · East Asian Mathematical Journal2011 · 제27권 제5호Strong convergence of an extended extragradient method for equilibrium problems and fixed point problems김종규, 남영만, Pham Ngoc Anh대한수학회 · 대한수학회지2012 · 제49권 제1호Iterative methods for generalized equilibrium problems and nonexpansive mappings강신민, 조선영, Xiaolong Qin대한수학회 · 대한수학회논문집2011 · 제26권 제1호STRONG CONVERGENCE THEOREM OF COMMON ELEMENTS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMSLijuan Zhang, Zhibin Hou영남수학회 · East Asian Mathematical Journal2010 · 제26권 제5호

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