Displaying similar documents to “Best approximation and fixed points in strong M -starshaped metric spaces.”

A fixed point theorem for nonexpansive compact self-mapping

T. D. Narang (2014)

Annales UMCS, Mathematica

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A mapping T from a topological space X to a topological space Y is said to be compact if T(X) is contained in a compact subset of Y . The aim of this paper is to prove the existence of fixed points of a nonexpansive compact self-mapping defined on a closed subset having a contractive jointly continuous family when the underlying space is a metric space. The proved result generalizes and extends several known results on the subject

Fixed points and best approximation in Menger convex metric spaces

Ismat Beg, Mujahid Abbas (2005)

Archivum Mathematicum

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We obtain necessary conditions for the existence of fixed point and approximate fixed point of nonexpansive and quasi nonexpansive maps defined on a compact convex subset of a uniformly convex complete metric space. We obtain results on best approximation as a fixed point in a strictly convex metric space.