The existence of fixed point theorems for partial \(q\)-set-valued quasi-contractions in \(b\)-metric spaces and related results

DOI10.1186/1687-1812-2014-226zbMath1462.54075OpenAlexW2170315646WikidataQ59306962 ScholiaQ59306962MaRDI QIDQ2406159

Poom Kumam, Wutiphol Sintunavarat

Publication date: 26 September 2017

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-226

zbMATH Keywords

fixed pointsbinary relations\(b\)-metric spaces\(\alpha\)-admissible mappings\(q\)-set-valued \(\alpha\)-quasi-contraction mappings

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (11)

Some periodic and fixed point theorems on quasi-\(b\)-gauge spaces ⋮ Some fixed point theorems for \((\alpha,\psi)\)-rational type contractive mappings ⋮ Fixed point results in \(b\)-metric spaces approach to the existence of a solution for nonlinear integral equations ⋮ Unnamed Item ⋮ On some fixed point results for \(H^+\)-type contraction mappings in metric spaces ⋮ Common fixed point of two \(R\)-weakly commuting mappings in \(b\)-metric spaces ⋮ Remarks on cyclic contractions in \(b\)-metric spaces and applications to integral equations ⋮ Unnamed Item ⋮ Fixed point theorems for C-class functions in b-metric spaces and applications ⋮ New fixed point results in b-rectangular metric spaces ⋮ Convexity and boundedness relaxation for fixed point theorems in modular spaces

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