A general iterative algorithm for common solutions of quasi variational inclusion and fixed point problems

Abstract

In this paper, quasi-variational inclusion and fixed point problems are investigated based on a general iterative process. Strong convergence theorems are established in the framework of Hilbert spaces. c 2016 All rights reserved.

A three step iterative algorithm for common solutions of quasi-variational inclusions and fixed point problems of pseudocontractions

“…(ii) The contraction mapping f of Theorem 3.1 in [13] is extended to the case of a Lipschitzian mapping V . (iii) The strongly positive linear bounded operator A of Theorem 3.1 in [13] is extended to the case of the κ-Lipschitzian and η-strongly monotone G. (iv) If β n = 0, γ n = 1, δ n = 0, G = A a strongly positive linear bounded operator, V = f a contraction, then the proposed method is an extension and improvement of a method studied in [13].…”