Common fixed point theorems for expansion mappings in various abstract spaces using the concept of weak reciprocal continuity

DOI10.1186/1687-1812-2012-221zbMath1278.54037OpenAlexW2152783774WikidataQ59288914 ScholiaQ59288914MaRDI QIDQ383892

Saurabh Manro, Poom Kumam

Publication date: 6 December 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-221

zbMATH Keywords

metric spaces\(G\)-metric spacescompatible maps\(R\)-weakly commuting mappings\(R\)-weakly commuting of type \((A_f), (A_g)\) and \((P)\)weakly reciprocal continuity

Mathematics Subject Classification ID

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

Related Items (2)

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Cites Work

• Common fixed points for \(R\)-weakly commuting in fuzzy metric spaces
• Weak reciprocal continuity and fixed point theorems
• Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces
• Fixed point theorems for contractive mappings in complete \(G\)-metric spaces
• A common fixed point theorem under a new condition
• Common fixed points of noncommuting mappings
• Compatible mapping and common fixed points
• Commuting Mappings and Fixed Points
• Weakly compatible maps of type (A) in G-metric spaces
• 2‐metrische Räume und ihre topologische Struktur
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