Common fixed point theorems for generalized \(k\)-ordered contractions and \(B\)-contractions on noncommutative Banach spaces

DOI10.1186/s13663-015-0327-0zbMath1346.47017OpenAlexW1596725095WikidataQ59434964 ScholiaQ59434964MaRDI QIDQ285871

Lining Jiang, Qiaoling Xin

Publication date: 19 May 2016

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

Full work available at URL: https://doi.org/10.1186/s13663-015-0327-0

zbMATH Keywords

common fixed point\(k\)-ordered \(B\)-contractiongeneralized \(k\)-ordered contractionnoncommutative Banach space

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Analysis on ordered groups, (H^p)-theory (43A17)

Cites Work

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• Common fixed points for \((g, f)\) type maps in cone metric spaces
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• Fixed point theorems for generalized contractions in ordered metric spaces
• A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type
• Some common fixed point theorems for weakly compatible mappings
• Common Fixed Point Theorems for Commuting Maps on a Metric Space
• A Generalization of Banach's Contraction Principle
• Commuting Mappings and Fixed Points

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