Quasi-contractions on a nonnormal cone metric space

DOI10.1007/s10688-012-0008-2zbMath1437.54045OpenAlexW2062123827MaRDI QIDQ366050

Ljiljana Gajić, Vladimir Rakočevič

Publication date: 11 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-012-0008-2

zbMATH Keywords

fixed pointcone metric spacequasi-contraction

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (17)

Some fixed point theorems on cone 2-metric spaces over Banach algebras ⋮ Quasi-contraction of Perov type ⋮ Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality ⋮ Fixed point theorems on cone 2-metric spaces over Banach algebras and an application ⋮ Common fixed point results for mappings of Perov type ⋮ Fixed points of sequence of Ćirić generalized contractions of Perov type ⋮ Fixed points and continuity conditions of generalized \(b\)-quasicontractions ⋮ Some remarks on Perov type mappings in cone metric spaces ⋮ A sharp generalization on cone b-metric space over Banach algebra ⋮ Common fixed point theorems for two weakly compatible self-mappings in cone \(b\)-metric spaces ⋮ Iterative approximation of fixed points of quasi-contraction mappings in cone metric spaces ⋮ Nonlinear quasi-contractions in non-normal cone metric spaces ⋮ Fixed point theorems of quasicontractions on cone metric spaces with Banach algebras ⋮ Common fixed point results of Perov type contractive mappings in \(D^\ast\)-cone metric spaces ⋮ Perov-type contractions ⋮ Fixed point theorems of ordered contractive mappings on cone metric spaces over Banach algebras ⋮ On the equivalence between Perov fixed point theorem and Banach contraction principle

Cites Work

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• Cone metric spaces and fixed point theorems of contractive mappings
• Quasi-contraction on a cone metric space
• Fixed and periodic point results in cone metric spaces
• \(\varphi\)-pairs and common fixed points in cone metric spaces
• Remarks on ``Quasi-contraction on a cone metric space
• A Generalization of Banach's Contraction Principle

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