In the present paper, we are devoted to exploring conditions of well-posedness for hemivariational inequalities in reflexive Banach spaces. By using some equivalent formulations of the hemivariational inequality considered under different monotonicity assumptions, we establish two kinds of...

The purpose of this paper is devoted to the least element problems of feasible sets for vector complementarity problems under certain conditions. We generalize the notion of a Z-map due to Riddell to the set-valued case. Some conditions of the feasible set being a sublattice are presented and...

In this paper we consider three classes of increasing-along-rays maps. We investigate the relations between increasing-along-rays property and star- shaped vector optimization. We also study well-posedness issues in star-shaped vector optimizations associated with increasing-along-rays maps....

This paper is devoted to the existence of solutions for the variational-hemivariational inequalities in reflexive Banach spaces. Using the notion of the stable <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$${\phi}$$</EquationSource> </InlineEquation> -quasimonotonicity and the properties of Clarke’s generalized directional derivative and Clarke’s generalized gradient,...</equationsource></inlineequation>

In this paper, two kinds of parametric generalized vector equilibrium problems in normed spaces are studied. The sufficient conditions for the continuity of the solution mappings to the two kinds of parametric generalized vector equilibrium problems are established under suitable conditions. The...

In this paper, we consider an extension of the notion of well-posedness by perturbations, introduced by Zolezzi for a minimization problem, to a mixed variational inequality problem in a Banach space. We establish some metric characterizations of the well-posedness by perturbations. We also show...