A Hybrid Iterative Scheme for Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Banach Spaces

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作者
Prasit Cholamjiak
机构
[1] Naresuan University at Phayao,School of Science and Technology
关键词
Banach Space; Variational Inequality; Equilibrium Problem; Nonexpansive Mapping; Variational Inequality Problem;
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摘要
The purpose of this paper is to introduce a new hybrid projection algorithm for finding a common element of the set of solutions of the equilibrium problem and the set of the variational inequality for an inverse-strongly monotone operator and the set of fixed points of relatively quasi-nonexpansive mappings in a Banach space. Then we show a strong convergence theorem. Using this result, we obtain some applications in a Banach space.
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