Review of recent studies on the KKM theory, II
S Park - Nonlinear Functional Analysis and Applications, 2014 - nfaa.kyungnam.ac.kr
Abstract In our previous survey [33], we gave a short history of the KKM theory andreviewed
its current study by recalling our previous comments or surveys in a sequence o fpapers …
its current study by recalling our previous comments or surveys in a sequence o fpapers …
Some fixed point theorems in locally p-convex spaces
In this paper we investigate the existence of a fixed point of multivalued mapson almost p-
convex and p-convex subsets of topological vectorspaces. Our results extend and …
convex and p-convex subsets of topological vectorspaces. Our results extend and …
Coincidence theorems and minimax inequalities in abstract convex spaces
In this paper, we deal with the notion of abstract convex spaces via minimal spaces as an
extended version of other forms of convexity and establish some well-known results such as …
extended version of other forms of convexity and establish some well-known results such as …
Fixed point theorems in minimal generalized convex spaces
This paper deals with coincidence and fixed point theorems in minimal generalized convex
spaces. By establishing a kind of KKM Principle in minimal generalized convex space, we …
spaces. By establishing a kind of KKM Principle in minimal generalized convex space, we …
Remarks on the KKM theory of abstract convex minimal spaces
S Park - Nonlinear Functional Analysis and Applications, 2013 - nfaa.kyungnam.ac.kr
Abstract Recently, Allmohammady et al.[1-3], Darzi et al.[5], and Delavar et al.[6] dealt with
some results in the KKM theory on generalized convex minimal spaces. By establishinga …
some results in the KKM theory on generalized convex minimal spaces. By establishinga …
On F-implicit minimal vector variational inequalities
In this paper, by introducing some new concepts in minimal spaces, we prove a generalized
form of the Fan-KKM theorem in minimal vector spaces. A new class of minimal generalized …
form of the Fan-KKM theorem in minimal vector spaces. A new class of minimal generalized …
Some results on maximal open sets
In this paper, the notion of maximal m-open set is introduced and its properties are
investigated. Some results about existence of maximal m-open sets are given. Moreover, the …
investigated. Some results about existence of maximal m-open sets are given. Moreover, the …
[PDF][PDF] On Generalization of Knaster-Kuratowski-Mazurkiewicz Theorem
MR Delavar - aimc51.kashanu.ac.ir
This paper deals with some results in generalized convex spaces. The notion of minimal
generalized convex space is introduced and then two well known results in nonlinear …
generalized convex space is introduced and then two well known results in nonlinear …
Remarks on maximal open sets in m-spaces
This paper deals with maximal m-open sets. The m-closure and the m-interior of maximal m-
open sets and their properties are investigated. Further, the behaviors of maximal m-open …
open sets and their properties are investigated. Further, the behaviors of maximal m-open …
[PDF][PDF] Fan-KKM Theorem in Minimal Vector Spaces and its Applications
M Roohi, M Rostamian Delavar - Caspian Journal of …, 2012 - cjms.journals.umz.ac.ir
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 …
are given. We prove a generalized form of the Fan-KKM typetheorem in minimal vector …