Remarks on generalized weak KKM multimaps
نویسندگان
چکیده
The concept of generalized KKM maps was initiated by Kassay-Kolumbán in 1990 and Chang-Zhang 1991. Recently, Balaj his colleagues extended w.r.t. a multimap to weak applied them various problems the theory. However, their results are mainly concerned within realm topological vector spaces. Our aim this article is extend some abstract convex Some related facts also discussed.
منابع مشابه
Generalized Kkm Maps on Generalized Convex Spaces
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.
متن کاملOn Generalized Weak Structures
Avila and Molina [1] introduced the notion of generalized weak structures which naturally generalize minimal structures, generalized topologies and weak structures and the structures α(g),π(g),σ(g) and β(g). This work is a further investigation of generalized weak structures due to Avila and Molina. Further we introduce the structures ro(g) and rc(g) and study the properties of the structures r...
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 کاملRemarks 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 کاملon generalized weak structures
avila and molina [1] introduced the notion of generalized weak structures which naturally generalize minimal structures, generalized topologies and weak structures and the structures α (g),π(g),σ(g) and β (g). this work is a further investigation of generalized weak structures due to avila and molina. further we introduce the structures ro(g) and rc(g) and study the properties of the structur...
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: Results in nonlinear analysis
سال: 2022
ISSN: ['2636-7556']
DOI: https://doi.org/10.53006/rna.1055249