Fixed point theorems of order-Lipschitz mappings in Banach algebras

DOI10.1186/S13663-016-0519-2zbMath1343.47060OpenAlexW2295951605WikidataQ59467809 ScholiaQ59467809MaRDI QIDQ269690

Zhilong Li, Shujun Jiang

Publication date: 6 April 2016

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

Full work available at URL: https://doi.org/10.1186/s13663-016-0519-2

zbMATH Keywords

Banach algebrafixed point theoremnon-normal coneorder-Lipschitz mappingPicard-complete

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (3)

Order-Lipschitz mappings restricted with linear bounded mappings in normed vector spaces without normalities of involving cones via methods of upper and lower solutions ⋮ Fixed point theorems of nondecreasing order-Ciric-Lipschitz mappings in normed vector spaces without normalities of cones ⋮ On order-Lipschitz mappings in Banach spaces without normalities of involving cones

Cites Work

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• Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality
• Extensions of Banach contraction principle to partial cone metric spaces over a non-normal solid cone
• Common fixed point theorems of contractions in partial cone metric spaces over nonnormal cones

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