Abstract In this paper, by considering some properties associated with scalar functionals of multiple-integral type, we study the well-posedness and generalized for a new variational inequality-constrained optimization problems By using set approximating solutions, state characterization theorems on well-posedness. Also, in order to validate derived results, examples are given.

In this paper, we introduce and study a new class of generalized vector variational inequalities and complementarity problems for multivalued mappings. We prove the existence of solutions for this kind of vector variational inequality and discuss the relations between the solutions of the generalized vector variational inequalities and the solutions of generalized vector complementarity problem...

We introduce a new hybrid iterative algorithm for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequality of a monotone mapping, and the set of solutions of a mixed equilibrium problem. This study, proves a strong convergence theorem by the proposed hybrid iterative algorithm which solves fixed-point ...