Common fixed point theorems for two weakly compatible self-mappings in cone \(b\)-metric spaces

DOI10.1186/1687-1812-2013-120zbMath1429.54059OpenAlexW2159830036WikidataQ59301470 ScholiaQ59301470MaRDI QIDQ2252668

Shaoyuan Xu, Lu Shi

Publication date: 22 July 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-120

zbMATH Keywords

common fixed pointcone \(b\)-metric space(quasi-)contractive conditionweakly compatible self-mappings

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

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Cites Work

• Quasi-contractions on a nonnormal cone metric space
• Common fixed point theorems for mappings satisfying property (E.A) on cone metric spaces
• KKM mappings in cone \(b\)-metric spaces
• Common fixed points for \((g, f)\) type maps in cone metric spaces
• Cone metric spaces and fixed point theorems of contractive mappings
• New common fixed point theorems for maps on cone metric spaces
• Quasi-contraction on a cone metric space
• Remarks on ``Quasi-contraction on a cone metric space
• Common fixed point results for noncommuting mappings without continuity in cone metric spaces
• Common fixed points for maps on cone metric space

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