Generalized KKM Type Theorems And Generalized Vector Equilibrium Problems In G-convex Spacw

This paper is concerned with the generalized KKM type theorems and generalized vector equilibrium problems in G-convex space. In chapter one, R-KKM mappings is discussed. The more general generalized L-R-KKM theorems are established in L-convex space. As applications, a minimax inequalities and a saddle point theorem are obtained in noncompact L-convex spaces. Chapter two, proves some new existence theorems of maximal elements and coincidence theorems involving better admissible mappings. A generalized vector variational-type inequality problems in generalized convex space , and some existence results for generalized vector variational-type inequality problems are established in chapter three. Chapter four is the continuum of chapter three, which studies a system of generalized mixed vector equilibrium problems, and establishes existence results for a solution to the system.