A New Iterative Method for Finding Common Solutions of a System of Equilibrium Problems, Fixed‐Point Problems, and Variational Inequalities

Jian-Wen Peng, Soon-Yi Wu and Jen-Chih Yao

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: We introduce a new iterative scheme based on extragradient method and viscosity approximation method for finding a common element of the solutions set of a system of equilibrium problems, fixed point sets of an infinite family of nonexpansive mappings, and the solution set of a variational inequality for a relaxed cocoercive mapping in a Hilbert space. We prove strong convergence theorem. The results in this paper unify and generalize some well‐known results in the literature.

Date: 2010
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https://doi.org/10.1155/2010/428293

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:428293

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