Coincidence theorems involving composites of acyclic mappings in contractible spaces

AbstractSome coincidence theorems involving a new class of set-valued mappings containing compact composites of acyclic mappings defined on a contractible space is proved

Equilibria of noncompact generalized games with U-majorized preference correspondences

AbstractIn this paper, some existence theorems of equilibria for qualitative games and generalized games with an infinite number of agents with noncompact strategy sets and with U-majorized preference correspondences are proved. Our theorems improve some recent results in the literatures

Maximal element theorems in product FC-spaces and generalized games

AbstractLet I be a finite or infinite index set, X be a topological space and (Yi,{φNi})i∈I be a family of finitely continuous topological spaces (in short, FC-space). For each i∈I, let Ai:X→2Yi be a set-valued mapping. Some existence theorems of maximal elements for the family {Ai}i∈I are established under noncompact setting of FC-spaces. As applications, some equilibrium existence theorems for generalized games with fuzzy constraint correspondences are proved in noncompact FC-spaces. These theorems improve, unify and generalize many important results in recent literature

Parametric completely generalized mixed implicit quasi-variational inclusions involving h-maximal monotone mappings

AbstractA new class of parametric completely generalized mixed implicit quasi-variational inclusions involving h-maximal monotone mappings is introduced. By applying resolvent operator technique of h-maximal monotone mapping and the property of fixed point set of set-valued contractive mappings, the behavior and sensitivity analysis of the solution set of the parametric completely generalized mixed implicit quasi-variational inclusions involving h-maximal monotone mappings are studied. The continuity and Lipschitz continuity of the solution set with respect to the parameter are proved under suitable assumptions. Our approach and results are new and improve, unify and extend previous many known results in this field