A hybrid subgradient algorithm for nonexpansive mappings and equilibrium problems

Authors: Phạm Ngọc Anh, Lê Dũng Mưu,

https://doi.org/10.1007/s11590-013-0612-y

Publisher, magazine: ,

Publication year: 2014

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Abstract

We propose a strongly convergent algorithm for finding a common point in the solution set of a class of pseudomonotone equilibrium problems and the set of fixed points of nonexpansive mappings in a real Hilbert space. The proposed algorithm uses only one projection and does not require any Lipschitz condition for the bifunctions.

Tags: Equilibrium problems, Nonexpansive mappings, Pseudomonotone, Fixed point