Fixed Points, Maximal Elements and Equilibria of Generalized Games in Abstract Convex Spaces
نویسندگان
چکیده
منابع مشابه
Fixed Points, Maximal Elements and Equilibria of Generalized Games in Abstract Convex Spaces
and Applied Analysis 3 Definition 2.2 see 22 . Let E,D;Γ be an abstract convex space. If a mapping G : D → 2 satisfies
متن کاملCoincidence points and maximal elements of multifunctions on convex spaces
Generalized and unified versions of coincidence or maximal element theorems of Fan, Yannelis and Prabhakar, Ha, Sessa, Tarafdar, Rim and Kim, Mehta and Sessa, Kim and Tan are obtained. Our arguments are based on our recent works on a broad class of multifunctions containing composites of acyclic maps defined on convex subsets of Hausdorff topological vector spaces.
متن کاملFixed Points for Generalized Condensing Maps in Abstract Convex Uniform Spaces
In this paper, we present some fixed point theorems for generalized condensing multimaps on KKM uniform spaces. We also obtain some new fixed point results for generalized condensing multimaps in KC class (or KKM class) in the setting of abstract convex uniform spaces. Mathematics Subject Classification: 47H10, 47H04, 46A16, 52A07, 54C60, 54H25, 55M20
متن کاملMaximal elements of $mathscr{F}_{C,theta}$-majorized mappings and applications to generalized games
In the paper, some new existence theorems of maximal elements for $mathscr{F}_{C,theta}$-mappings and $mathscr{F}_{C,theta}$-majorized mappings are established. As applications, some new existence theorems of equilibrium points for one-person games, qualitative games and generalized games are obtained. Our results unify and generalize most known results in recent literature.
متن کاملOn Fixed Points and Uniformly Convex Spaces
The purpose of this note is to present two elementary, but useful, facts concerning actions on uniformly convex spaces. We demonstrate how each of them can be used in an alternative proof of the triviality of the first Lp-cohomology of higher rank simple Lie groups, proved in [1]. Let G be a locally compact group with a compact generating set K ∋ 1, and let X be a complete Busemann non-positive...
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: Abstract and Applied Analysis
سال: 2012
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2012/842515