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On the Admissibility of the Fixed Points Set of a Mapping with Respect to Another Mapping
Journal article   Open access  Peer reviewed

On the Admissibility of the Fixed Points Set of a Mapping with Respect to Another Mapping

Bessem Samet
Mathematics (Basel), Vol.9(16), p.1981
01/08/2021
DOI: https://doi.org/10.3390/math9161981

Abstract

Mathematics Physical Sciences Science & Technology
Let (M, delta) be a metric space, f : M -> M, and g : M -> [0, +infinity). In this paper, we obtain sufficient conditions under which the set of fixed points of f is g-admissible, i.e., Fix(f) not equal null and Fix(f) subset of g(-1)({0}). Some special cases of our main results are discussed and some examples are given.
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https://doi.org/10.3390/math9161981View
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