Coincidence preservation for a one-parameter family of pairs of Zamfirescu-type multi-valued mappings
type: Item
instance of: scholarly article
title: Coincidence preservation for a one-parameter family of pairs of Zamfirescu-type multi-valued mappings
zbMATH Open document ID: 1473.54073
DOI: 10.3103/S0027132221010095
author: Yu. N. Zakharyan
author: Tatiana N. Fomenko
published in: Moscow University Mathematics Bulletin
publication date: 2021-09-08T00:00:00Z
review text: A theorem is proved on the preservation of the existence of coincidence points in a given open subset of a metric space for a one-parameter family of pairs of Zamfirescu-type multi-valued mappings. The connection is demonstrated of this result with the Frigon-Granas theorem [\textit{M. Frigon} and \textit{A. Granas}, Topol. Methods Nonlinear Anal. 4, No. 1, 197--208 (1994; Zbl 0829.47047)] on the preservation of the existence of fixed points for a contraction family of multi-valued mappings.
reviewed by: Zoran Kadelburg
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54E35
zbMATH DE Number: 7392390
zbMATH Keywords: Zamfirescu-type multi-valued mappings
zbMATH Keywords: coincidence point
zbMATH Keywords: fixed point
zbMATH Keywords: contraction family
MaRDI profile type: Publication
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cites work: Fixed Point Theorems of Multi-Valued Zamfirescu Mapping
cites work: On coincidence points for a Zamfirescu type pair of multi-valued mappings
cites work: Approximation of coincidence points and common fixed points of a collection of mappings of metric spaces
cites work: Cascade search of the coincidence set of collections of multivalued mappings
cites work: Cascade search principle and its applications to the coincidence problems of \(n\) one-valued or multi-valued mappings
cites work: Functionals strictly subjected to convergent series and search for singularities of mappings
cites work: Zero preservation for a family of multivalued functionals, and applications to the theory of fixed points and coincidences
cites work: Leray-Schauder type results for multivalued contractions
cites work: Q4356004
full work available at URL: s0027132221010095
OpenAlex ID: W3180376170
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description: scientific article; zbMATH DE number 7392390