Coupled fixed point theorems for single-valued operators in \(b\)-metric spaces

DOI10.1186/s13663-015-0482-3zbMath1347.54069OpenAlexW2215577992WikidataQ59427347 ScholiaQ59427347MaRDI QIDQ288302

Adrian Petruşel, Monica-Felicia Bota, Bessem Samet, Gabriela Petrusel

Publication date: 25 May 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-015-0482-3

zbMATH Keywords

integral equationfixed pointcoupled fixed pointordered metric spaceUlam-Hyers stabilitysingle-valued operatorvector-valued metric

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (8)

A fixed point theorem and an application for the Cauchy problem in the scale of Banach spaces ⋮ Unnamed Item ⋮ Discussion on a coupled fixed point theorem for single-valued operators in b-metric spaces ⋮ Fixed points of weakly compatible mappings satisfying a generalized common limit range property ⋮ Contributions to the fixed point theory of diagonal operators ⋮ A fixed point theorem on multiplicative metric space with integral-type inequality ⋮ Solution of a class of nonlinear matrix equations ⋮ Fixed point theorems for quadruple self-mappings satisfying integral type inequalities

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