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In this paper, a set-valued mapping with G-KKM property is defined and a generalization of minimax theorem for set-valued maps with G-KKM property on generalized convex space is established. As a consequence of this results we verify the coincidence theorem for set-valued maps with G-KKM property on G-convex space. Finally, we apply our results to the best approximation problem and fixed point problem.

Coincidence theorems for some multivalued mappings.

Rhoades, B.E., Singh, S.L., Kulshrestha, Chitra (1984)

International Journal of Mathematics and Mathematical Sciences

Coincidence theorems, generalized variational inequality theorems, and minimax inequality theorems for the $Φ$ -mapping on $G$ -convex spaces.

Chen, Chi-Ming, Chang, Tong-Huei, Liao, Ya-Pei (2007)

Fixed Point Theory and Applications [electronic only]

Collared sets

Michael, E. (1962)

General Topology and its Relations to Modern Analysis and Algebra

Collectionwise Hausdorff property in product spaces

T. Przymusiński (1976)

Colloquium Mathematicae

Collectionwise Hausdorffness at limit cardinals

Nobuyuki Kemoto (1991)

Fundamenta Mathematicae

Collectionwise normality and absolute retracts

T. Przymusiński (1978)

Fundamenta Mathematicae

Collectionwise normality and extensions of continuous functions

T. Przymusiński (1978)

Fundamenta Mathematicae

Collectionwise normality and extensions of locally finite coverings

T. Przymusiński, M. Wage (1980)

Fundamenta Mathematicae

Collectionwise normality and fragmented collectionwise normality

H. H. Hung (1984)

Colloquium Mathematicae

Collectionwise normality and the extension of functions on product spaces

Richard Aló, Linnea Sennott (1972)

Fundamenta Mathematicae

Coloring Cantor sets and resolvability of pseudocompact spaces

István Juhász, Lajos Soukup, Zoltán Szentmiklóssy (2018)

Commentationes Mathematicae Universitatis Carolinae

Let us denote by $Φ (λ, μ)$ the statement that $𝔹 (λ) = D {(λ)}^{ω}$ , i.e. the Baire space of weight $λ$ , has a coloring with $μ$ colors such that every homeomorphic copy of the Cantor set $ℂ$ in $𝔹 (λ)$ picks up all the $μ$ colors. We call a space $X$ $π$ -regular if it is Hausdorff and for every nonempty open set $U$ in $X$ there is a nonempty open set $V$ such that $\bar{V} \subset U$ . We recall that a space $X$ is called feebly compact if...

Colorings of Periodic Homeomorphisms

Yuji Akaike, Naotsugu Chinen, Kazuo Tomoyasu (2009)

Bulletin of the Polish Academy of Sciences. Mathematics

We calculate the exact value of the color number of a periodic homeomorphism without fixed points on a finite connected graph.

Comaximal graph of $C (X)$

Mehdi Badie (2016)

Commentationes Mathematicae Universitatis Carolinae

In this article we study the comaximal graph $Γ_{_{2}}^{'} C (X)$ of the ring $C (X)$ . We have tried to associate the graph properties of $Γ_{_{2}}^{'} C (X)$ , the ring properties of $C (X)$ and the topological properties of $X$ . Radius, girth, dominating number and clique number of the $Γ_{_{2}}^{'} C (X)$ are investigated. We have shown that $2 \leq Rad Γ_{_{2}}^{'} C (X) \leq 3$ and if $| X | > 2$ then $girth Γ_{_{2}}^{'} C (X) = 3$ . We give some topological properties of $X$ equivalent to graph properties of $Γ_{_{2}}^{'} C (X)$ . Finally we have proved that $X$ is an almost $P$ -space which does not have isolated points if and only if $C (X)$ is an almost regular ring...

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