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 …
On the KKM theory of locally p-convex spaces (Nonlinear Analysis and Convex Analysis)
S Park - 数理解析研究所講究録, 2016 - repository.kulib.kyoto-u.ac.jp
In a recent paper [5], Gholizadeh et al. investigated the existence of a fixed point of
multimaps on almost p-convex or p-convex subsets of topological vector spaces. Most of …
multimaps on almost p-convex or p-convex subsets of topological vector spaces. Most of …
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 …
[PDF][PDF] Various subclasses of abstract convex spaces for the KKM theory
S Park - Proc. Nat. Inst. Math. Sci, 2007 - researchgate.net
We introduce some subclasses of the class of abstract convex spaces, namely, abstract
convex minimal spaces, minimal KKM spaces, generalized convex minimal spaces, and …
convex minimal spaces, minimal KKM spaces, generalized convex minimal spaces, and …
Transfer closed and transfer open multimaps in minimal spaces
This paper is devoted to introduce the concepts of transfer closed and transfer open
multimaps in minimal spaces. Also, some characterizations of them are considered. Further …
multimaps in minimal spaces. Also, some characterizations of them are considered. Further …
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 …
Applications of the KKM principle on abstract convex minimal spaces
S Park - Nonlinear Functional Analysis and Applications, 2015 - nfaa.kyungnam.ac.kr
We introduce a new concept of abstract convex minimal spaces which is used to establish
typical results in the KKM theory. Since any minimal space can be made into a topological …
typical results in the KKM theory. Since any minimal space can be made into a topological …
Transfer closed multimaps and Fan-KKM principle
TRANSFER CLOSED MULTIMAPS AND FAN-KKM PRINCIPLE Page 1 Nonlinear
Functional Analysis and Applications Vol. 13, No. 4 (2008), pp. 597-611 http://nfaa.kyungnam.ac.kr/jour-nfaa.htm …
Functional Analysis and Applications Vol. 13, No. 4 (2008), pp. 597-611 http://nfaa.kyungnam.ac.kr/jour-nfaa.htm …
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 …