Generalized Kkm Maps on Generalized Convex Spaces
نویسندگان
چکیده
In the present paper, we extend known KKM theorems and matching theorems for generalized KKM maps to G-convex spaces. From these results, we deduce generalized versions of main results of Kassay and Kolumbán [KK] and some others.
منابع مشابه
Remarks on Weakly KKM Maps in Abstract Convex Spaces
A KKM space is an abstract convex space satisfying the KKM principle. We obtain variants of the KKM principle for KKM spaces related to weakly KKM maps and indicate some applications of them. These results properly generalize the corresponding ones in G-convex spaces and φA-spaces X,D; {φA}A∈〈D〉 . Consequently, results by Balaj 2004, Liu 1991, and Tang et al. 2007 can be properly generalized an...
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 کاملRemarks on KKM Maps and Fixed Point Theorems in Generalized Convex Spaces
Various types of φA-spaces (X,D; {φA}A∈〈D〉) are simply G-convex spaces. Various types of generalized KKM maps on φA-spaces are simply KKM maps on G-convex spaces. Therefore, our G-convex space theory can be applied to various types of φAspaces. As such examples, we obtain KKM type theorems and a very general fixed point theorem on φA-spaces. RESUMEN Varios tipos de φA-espacios (X,D; {φA}A∈〈D〉) ...
متن کاملFan-KKM Theorem in Minimal Vector Spaces and its Applications
In this paper, after reviewing some results in minimal space, some new results in this setting are given. We prove a generalized form of the Fan-KKM typetheorem in minimal vector spaces. As some applications, the open type of matching theorem and generalized form of the classical KKM theorem in minimal vector spaces are given.
متن کاملKkm Theorem with Applications to Lower and Upper Bounds Equilibrium Problem in G-convex Spaces
We give some new versions of KKM theorem for generalized convex spaces. As an application, we answer a question posed by Isac et al. (1999) for the lower and upper bounds equilibrium problem.
متن کامل