Two common fixed point theorems for three mappings satisfying a \(\varPhi\)-implicit relation in complete \(G\)-metric spaces

DOI10.1007/s10013-013-0020-8zbMath1270.54051OpenAlexW2094209491MaRDI QIDQ353050

Alina-Mihaela Patriciu, Valeriu Popa

Publication date: 12 July 2013

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-013-0020-8

zbMATH Keywords

fixed pointimplicit relation\(G\)-metric space\(\varPhi\)-implicit relation

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (1)

Best proximity point results in generalized metric spaces

Cites Work

• Some periodic point results in generalized metric spaces
• Some fixed point theorems for weakly compatible mappings satisfying an implicit relation
• Common fixed point results for noncommuting mappings without continuity in generalized metric spaces
• Some fixed point theorem for mapping on complete \(G\)-metric spaces
• Fixed point theorems for contractive mappings in complete \(G\)-metric spaces
• Existence of fixed point results in \(G\)-metric spaces
• Fixed point theory for contractive mappings satisfying \(\Phi \)-maps in G-metric spaces
• A general fixed point theorem for pairs of weakly compatible mappings in G--metric spaces
• A Fixed Point Theorem of Reich in G-Metric Spaces
• SOME FIXED POINT THEOREMS FOR COMPATIBLE MAPPINGS SATISFYING AN IMPLICIT RELATION
• Common fixed point results for three maps in G-metric spaces
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