G - H - Kkm Selections with Applications to Minimax Theorems
نویسنده
چکیده
Based on the G-H-KKM selections, some nonempty intersection theorems and their applications to minimax inequalities are presented.
منابع مشابه
New matching theorems and their applications
In this paper, we establish two matching theorems involving three maps. As applications, KKM type theorems, intersections theorems, analytic alternatives and minimax inequalities are obtained. AMS subject classifications: 54H25, 54C60
متن کاملGeneral KKM Theorem with Applications to Minimax and Variational Inequalities
In this paper, a general version of the KKM theorem is derived by using the concept of generalized KKM mappings introduced by Chang and Zhang. By employing our general KKM theorem, we obtain a general minimax inequality which contains several existing ones as special cases. As applications of our general minimax inequality, we derive an existence result for saddle-point problems under general s...
متن کاملOn the Brézis Nirenberg Stampacchia-type theorems and their applications
In this paper, we obtain several new generalized KKM-type theorems under a new coercivity condition and the condition of intersectionally closedness which improves condition of transfer closedness. As applications, we obtain new versions of equilibrium problem, minimax inequality, coincidence theorem, fixed point theorem and an existence theorem for an 1-person game.
متن کاملGeneralized Minimax Theorems On Nonconvex Domains∗
In this paper, the author considers generalized minimax theorems for vector set-valued mappings using Fan-KKM theorem on nonconvex domains of Hausdorff topological vector spaces.
متن کاملW-gph-kkm Theorems in Pseudo H-spaces and Their Applications
In this paper, some new W-GPH-KKM theorems are established in pseudo H-spaces without any linear and convex structure under much weaker assumptions, and next as their applications, some new coincidence theorems, maximal element theorems, and existence theorems of solutions to generalized equilibrium problems are proved in pseudo H-spaces. The results represented in this paper unify and extend s...
متن کامل