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

Bessem Samet
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Bessem Samet: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Mathematics, 2021, vol. 9, issue 16, 1-12

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 − 1 0 . Some special cases of our main results are discussed and some examples are given.

Keywords: fixed points set; g -admissible; μ -continuous; μ -regular; μ -Cauchy; μ -complete; picard sequence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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