Generalized nonlinear variational inclusions involving H-monotone operators

Abstract

The purpose of this paper is to introduce and study the existence of solutions and convergence and stability of perturbed three-step iterative process with errors for a class of generalized nonlinear variational inclusions involving H-monotone, strongly monotone, relaxed monotone, relaxed Lipschitz and generalized pseudocontractive operators. The results presents in this paper extend, improve and unify some corresponding results in recent literatures. An example is given to illustrate the advantages of our results.