Mixed equilibrium problems and optimization problems

By Yonghong Yao, Muhammad Aslam Noor, Saira Zainab, Yeong-Cheng Liou. 2009

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In this paper, we introduce and analyze a new hybrid iterative algorithm for finding a common element of the set of solutions of mixed equilibrium problems and the set of fixed points of an infinite family of nonexpansive mappings. Furthermore, we prove some strong convergence theorems for the hybrid iterative algorithm under some mild conditions. We also discuss some special cases. Results obtained in this paper improve the previously known results in this area.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/216fa31ca3e0e0a2ae288356c674e3cb43b6fae8