A fixed point theoremfor nonexpansive compact self-mapping

T. D. Narang

Abstract


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.

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References


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DOI: http://dx.doi.org/10.2478/umcsmath-2014-0005
Date of publication: 2015-05-23 16:29:35
Date of submission: 2015-05-04 21:34:38


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