Iterative approximation of solution of generalized mixed set-valued variational inequality problem

Existence and iterative approximation of solutions of generalized mixed quasi-variational-like inequality problem in Banach spaces

In this paper, some existence theorems for the mixed quasi-variational-like inequalities problem in a reflexive Banach space are established. The auxiliary principle technique is used to suggest a novel and innovative iterative algorithm for computing the approximate solution for the mixed quasi-variational-like inequalities problem. Consequently, not only the existence of theorems of the mixed...

An Iterative Method for Generalized Set-Valued Nonlinear Mixed Quasi-Variational Inequalities

This paper presents an iterative method for solving the generalized nonlinear set-valued mixed quasi-variational inequality, a problem class that was introduced by Huang, Bai, and Kang, [Comp. Math. Appl., 40, 2000]. The method incorporates step size controls that enable application to problems where certain set-valued mappings do not always map to nonempty closed bounded sets.

On Generalized Vector Variational-Like Inequality Problem

In this paper, we introduce the concepts of relaxed M-η-αP -pseudomonotonicity and relaxed M-η-α-P -pseudomonoton icity-type mappings. Using the KKM techniques, we obtain the existence of solutions for generalized vector variationallike inequalities with relaxed M-η-α-P -pseudomonotone-type mappings in reflexive Banach spaces. The results presented in this paper generalize, unify and improve a ...

Generalized Quasi-Variational-Like Inequality Problem

Existence and Iterative Approximations of Solution for Generalized Yosida Approximation Operator

In this paper, we introduce and study a generalized Yosida approximation operator associated to H(·, ·)-co-accretive operator and discuss some of its properties. Using the concept of graph convergence and resolvent operator, we establish the convergence for generalized Yosida approximation operator. Also, we show an equivalence between graph convergence for H(·, ·)-co-accretive operator and gen...