Recession Methods in Monotone Variational Hemivariational Inequalities

Existence and Uniqueness Results for a Nonstandard Variational-Hemivariational Inequalities with Application

‎This paper aims at establishing the existence and uniqueness of solutions for a nonstandard variational-hemivariational inequality. The solutions of this inequality are discussed in a subset $K$ of a reflexive Banach space $X$. Firstly, we prove the existence of solutions in the case of bounded closed and convex subsets. Secondly, we also prove the case when $K$ is compact convex subsets. Fina...

On a class of variational-hemivariational inequalities involving set valued mappings

Using the KKM technique, we establish some existence results for variationalhemivariational inequalities involving monotone set valued mappings on bounded, closed and convex subsets in reflexive Banach spaces. We also derive several sufficient conditions for the existence of solutions in the case of unbounded subsets.

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

Well-Posedness by Perturbations for Variational-Hemivariational Inequalities

We generalize the concept of well-posedness by perturbations for optimization problem to a class of variational-hemivariational inequalities. We establish some metric characterizations of the well-posedness by perturbations for the variational-hemivariational inequality and prove their equivalence between the well-posedness by perturbations for the variational-hemivariational inequality and the...

A Relaxed Extra Gradient Approximation Method of Two Inverse-Strongly Monotone Mappings for a General System of Variational Inequalities, Fixed Point and Equilibrium Problems