2020•Communications in Mathematics and ApplicationsOpen access

General Iterative Scheme for Split Mixed Equilibrium Problems, Variational Inequality Problems and Fixed Point Problems in Hilbert Spaces

Jitsupa Deepho, Poom Kumam

Abstract

The purpose in this paper is to study the strong convergence of general iterative scheme to find a common element of the set of a finite family of nonexpansive mappings, the set of solutions of variational inequalities for a relaxed cocoercive mapping and the set of solutions of split mixed equilibrium problem. Our results extend recent results announced by many others.

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Key concepts: Variational inequality, Mathematics, Hilbert space, Fixed point, Convergence (economics), Scheme (mathematics), Set (abstract data type), Applied mathematics