Minimax Inequalities And Generalized L-KKM Type Theorems In L-Convex Spaces

In this paper, we study minimax inequalities and generalized L - KKM type theorems in the spaces without linear structure.In chapter one, we present some basic definitions, notations and facts that will be used later in this paper.In chapter two, we prove a nonempty intersection theorem in L-convex space by using a continuous selection theorem. As applications, some minimax inequalities are obtained.In chapter three, some new GLKKM type theorems are proved. These theorems are then applied to obtain some matching theorems, fixed point theorems, a minimax inequality and a saddle point theorem.