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Fixed point solution methods for solving equilibrium problems

Pham Ngoc Anh|Nguyen Duc Hien
대한수학회 (The Korean Mathematical Society)|2014.03|대한수학회보 (Bulletin of the KMS)|제51권 제2호|pp. 479-499

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참고문헌

키워드

fixed pointequilibrium problemspseudomonotoneLipschitz-type continuousmonotone
주제분류수학

초록

In this paper, we propose new iteration methods for finding a common point of the solution set of a pseudomonotone equilibrium problem and the solution set of a monotone equilibrium problem. The methods are based on both the extragradient-type method and the viscosity approximation method. We obtain weak convergence theorems for the sequences generated by these methods in a real Hilbert space.

Abstract

In this paper, we propose new iteration methods for finding a common point of the solution set of a pseudomonotone equilibrium problem and the solution set of a monotone equilibrium problem. The methods are based on both the extragradient-type method and the viscosity approximation method. We obtain weak convergence theorems for the sequences generated by these methods in a real Hilbert space.

참고문헌 (23)

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관련 논문AI추천

Strong convergence of an extended extragradient method for equilibrium problems and fixed point problems김종규, 남영만, Pham Ngoc Anh대한수학회 · 대한수학회지2012 · 제49권 제1호An iterative method for solving equilibrium problem fixed point problem and generalized variational inequalities problemJuchun Li, Lijuan Zhang영남수학회 · East Asian Mathematical Journal2011 · 제27권 제5호Weak and Strong Convergence of Hybrid Subgradient Method for Pseudomonotone Equilibrium Problems and Nonspreading- Type Mappings in Hilbert SpacesSomnuk Srisawat, Wanna Sriprad경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제1호STRONG CONVERGENCE THEOREM OF COMMON ELEMENTS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMSLijuan Zhang, Zhibin Hou영남수학회 · East Asian Mathematical Journal2010 · 제26권 제5호Iterative methods for generalized equilibrium problems and nonexpansive mappings강신민, 조선영, Xiaolong Qin대한수학회 · 대한수학회논문집2011 · 제26권 제1호WEAK CONVERGENCE THEOREMS FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS, MONOTONE MAPPINGS AND PSEUDOCONTRACTIVE MAPPINGS정종수대한수학회 · 대한수학회지2015 · 제52권 제6호

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