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, the concepts of invexity, monotonicity, and their generalizations in Asplund spaces are studied. Some characterizations for several kinds of generalized invexity and monotonicity concepts are given, using the properties of Mordukhovich limiting subdifferentials in Asplund spaces;...

Recently there are several works which analyzed the strategy-proofness of non-resolute social choice rules such as Duggan and Schwartz (2000) and Ching and Zhou (2001). In these analyses it was assumed that individual preferences are linear, that is, they excluded indifference from individual...

Using a particular kind of pseudomonotonicity for multivalued mappings, an existence result is proved for equilibria, variational inequalities, and a combination of both. Copyright Springer-Verlag Berlin Heidelberg 1998

Using a particular kind of pseudomonotonicity for multivalued mappings, an existence result is proved for equilibria, variational inequalities, and a combination of both. Copyright Springer-Verlag Berlin Heidelberg 1998