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On the contraction principle in Menger spaces
1984The author proves a fixed point theorem for a contraction map on a Menger space, and also obtains a partial converse of the same.
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A fixed point theorem in Menger space through weak compatibility
Journal of Mathematical Analysis and Applications, 2005Bijendra Singh
exaly
Common fixed point theorem for six self mappings in Menger space
Journal of Mathematical Analysis and Applications, 2013Xiao-Lan Liu
exaly
Fixed Point Theorems for Cyclic Weak Φ - Contraction in Menger Space
, 2014S. M. Roosevelt, K. S. Dersanambika
semanticscholar +1 more source
2012
A space X is star-K-Menger if for each sequence (Un : n ∈ N) of opencovers of X there exists a sequence (Kn : n ∈ N) of compact subsetsof X such that {St(Kn, Un) : n ∈ N} is an open cover of X. In thispaper, we investigate the relationship between star-K-Menger spacesand related spaces, and study topological properties of star-K-Mengerspaces.
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A space X is star-K-Menger if for each sequence (Un : n ∈ N) of opencovers of X there exists a sequence (Kn : n ∈ N) of compact subsetsof X such that {St(Kn, Un) : n ∈ N} is an open cover of X. In thispaper, we investigate the relationship between star-K-Menger spacesand related spaces, and study topological properties of star-K-Mengerspaces.
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