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math.GN2019
Menger Convexity and Fixed Point Results
Ajit Kumar Gupta, Saikat Mukherjee
Shimizu and Takahashi proved that every decreasing sequence of nonempty, bounded, closed, convex subsets of a complete, uniformly Takahashi convex metric space has nonempty interse…
math.GN2019
On Nonempty Intersection Properties in Metric Spaces
Ajit K. Gupta, Saikat Mukherjee
The classical Cantor's intersection theorem states that in a complete metric space , intersection of every decreasing sequence of nonempty closed bounded subsets, with diameter…