On the Generalized Vector Variational Inequality Problem

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

Generalized Vector Complementarity Problems With Corresponding Vector Variational Inequality Problems

In this paper, We introduce a new class of generalized vector complementarity problems and the corresponding generalized vector variational inequality problems which include many known complementarity problems and the corresponding vector variational inequality problems as special cases and establish the equivalence between those problems in Banach spaces. Furthermore, we obtain some new existe...

On Minty Vector Variational Inequality

The analysis of the connections among generalized systems, Vector Optimization Problems and Variational Inequalities allows to deepen the study of the properties of the Minty Vector Variational Inequality. In particular, under suitable regularity assumptions,the equivalence between Minty Vector Variational Inequality and Stampacchia Vector Variational Inequality is shown.

On Vector Equilibrium Problem with Generalized Pseudomonotonicity

In this paper, first a short history of the notion of equilibrium problem in Economics and Nash$acute{'}$ game theory is stated. Also the relationship between equilibrium problem among important mathematical problems like optimization problem, nonlinear programming, variational inequality problem, fixed point problem and complementarity problem is given. The concept of generalized pseudomonoton...