Search for zeros of functionals, fixed points, and mappings coincidence in quasi-metric spaces
type: Item
instance of: scholarly article
title: Search for zeros of functionals, fixed points, and mappings coincidence in quasi-metric spaces
zbMATH Open document ID: 1480.54029
DOI: 10.3103/S0027132219060032
published in: Moscow University Mathematics Bulletin
publication date: 2020-08-12T00:00:00Z
review text: The present paper extends previous research of the author to \((b_1, b_2)\)-quasimetric spaces as defined by \textit{A.~V. Arutyunov} and \textit{A.~V. Greshnov} [Izv. Math. 82, No.~2, 245--272 (2018; Zbl 1401.54023); translation from Izv. Ross. Akad. Nauk, Ser.but Mat. 82, No.~2, 3--32 (2018)]. The article promises a lot in the title, but the assumptions of the theorems proven in the paper appear hard to verify in practice.
reviewed by: Stefan Czerwik
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 7233304
zbMATH Keywords: functional
zbMATH Keywords: zeros of functionals
zbMATH Keywords: fixed point
zbMATH Keywords: generalized metric space
author: Tatiana N. Fomenko
MaRDI profile type: Publication
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: $ (q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence points
cites work: Fixed points and coincidences of families of mappings between ordered sets and some metrical consequences
cites work: Q4884981
cites work: Q4225413
full work available at URL: s0027132219060032
OpenAlex ID: W3003442941
description: scientific article; zbMATH DE number 7233304