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 …

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 …

Some fixed point theorems in locally p-convex spaces

L Gholizadeh, E Karapınar, M Roohi - Fixed Point Theory and Applications, 2013 - Springer
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 …

[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 …

Transfer closed and transfer open multimaps in minimal spaces

M Alimohammady, M Roohi, MR Delavar - Chaos, Solitons & Fractals, 2009 - Elsevier
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 …

Coincidence theorems and minimax inequalities in abstract convex spaces

Y Je Cho, MR Delavar, SA Mohammadzadeh… - Journal of Inequalities …, 2011 - Springer
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 …

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 …

Transfer closed multimaps and Fan-KKM principle

M Alimohammady, M Roohi… - … Functional Analysis and …, 2016 - nfaa.kyungnam.ac.kr
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 …

Fixed point theorems in minimal generalized convex spaces

R Darzi, MR Delavar, M Roohi - Filomat, 2011 - JSTOR
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 …

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 …