W-G-F-KKM mapping, intersection theorems and minimax inequalities in FC-space
نویسندگان
چکیده
منابع مشابه
G - H - Kkm Selections with Applications to Minimax Theorems
Based on the G-H-KKM selections, some nonempty intersection theorems and their applications to minimax inequalities are presented.
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 کاملFixed Points, Intersection Theorems, Variational Inequalities, and Equilibrium Theorems
From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi-equilibrium theorems. These quasi-equilibrium theorems are applied to give simple and unified proofs of the known variational inequalities of the Hartman-Stampacchia-Browder t...
متن کاملTwo minimax inequalities in G-convex spaces
In this work we obtain two minimax inequalities in G-convex spaces which extend and improve a large number of generalizations of the Ky Fan minimax inequality and of the von Neumann–Sion minimax principle. © 2005 Elsevier Ltd. All rights reserved.
متن کاملNonempty Intersection Theorems Minimax Theorems with Applications in Generalized Interval Spaces
We establish some new topological types of nonempty intersection theorems in more general topological spaces without linear structure. As applications, we utilize results to study the minimax problems, coincidence problems, and economy equilibrium problems in generalized interval spaces and some new results are obtained. 2000 Mathematics Subject Classification. 49K35, 54D20, 54D05, 54H25.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.01.040