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 …

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 …

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 …

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 …

On F-implicit minimal vector variational inequalities

M Roohi, MR Delavar - Statistics, Optimization & Information Computing, 2022 - iapress.org
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 …

Some results on maximal open sets

M Roohi, M Rostamian Delavar… - … Journal of Nonlinear …, 2012 - ijnaa.semnan.ac.ir
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 …

[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 …

Remarks on maximal open sets in m-spaces

M Roohi, MR Delavar, SA Mohammadzadeh - Mathematical Sciences, 2013 - Springer
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 …

[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 …