Approximation of solutions of quasi-variational inclusions and fixed points of nonexpansive mappings

Abstract

The purpose of this article is to study common solution problems of quasi-variational inclusion problems and nonlinear operator equations involving nonexpansive mappings. Strong convergence theorems are obtained without any compactness assumptions imposed on the operators and the spaces.

Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive Operators

“…Ceng and Wen [29] introduced an implicit hybrid steepest-descent algorithm for solving generalized mixed equilibria with variational inclusions and variational inequalities. Li and Zhao [30] considered an iterate for finding a solution of quasi-variational inclusions and fixed points of nonexpansive mappings.…”