Abstract

In this paper, a new algorithm for finding a common element of a split equality fixed point problem for nonexpansive mappings and split equality equilibrium problem in three Banach spaces is introduced. Also, some strong and weak convergence theorems for the proposed algorithm are proved. Finally, the main results obtained in this paper are applied to solve the split equality convex minimization problem.

Highlights

  • Let C be a closed convex subset of real Banach space E with the dual space E ∗, and let f : C × C →< be a bifunction, where < is the set of real numbers

  • The solutions set of the problem (EP) is denoted by EP( f ), that is, EP( f ) = {u∗ ∈ C : f (u∗, u) ≥ 0, u ∈ C}

  • It is well known that many problems in physics, optimization, economics and other applied sciences reduce to find a solution of the problem (EP)

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Summary

Some Results for Split Equality Equilibrium

College of Public Foundation, Yunnan Open University

Introduction
Preliminaries
Main Results

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