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

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 19 Aug 2021 English Publisher:MDPI AGJournal:Mathematics, volume 9, page 1,981 (eissn: 2227-7390,

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Authors: Bessem Samet;

doi: 10.3390/math9161981

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

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Abstract

Let (M,δ) be a metric space, f:M→M, and g:M→[0,+∞). In this paper, we obtain sufficient conditions under which the set of fixed points of f is g-admissible, i.e., Fix(f)≠∅ and Fix(f)⊂g−10. Some special cases of our main results are discussed and some examples are given.

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King Saud University
Saudi Arabia

Keywords

μ-complete, g-admissible, μ-continuous, QA1-939, picard sequence, fixed points set, μ-regular, μ-Cauchy, Mathematics

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