Generalized set-valued variational inclusions and resolvent equations in Banach spaces

Abstract

In this paper, we construct a new iterative algorithm for set-valued variational inclusions without the compactness condition and study the convergence of the perturbed Ishikawa iterative process for solving a class of the generalized single-valued variational inclusions in Banach spaces. The result obtained in this paper is a generalization and improvement of Noor's theorem [1].