On nonlinear quasi-contractions on TVS-cone metric spaces

DOI10.1016/j.aml.2011.02.010zbMath1218.54028OpenAlexW2090910985MaRDI QIDQ533482

Dragoljub J. Kečkić, Ivan D. Aranđelović

Publication date: 3 May 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.02.010

zbMATH Keywords

tvs-cone metric spacequasicontractiontvs-cone metricscalarisation

Mathematics Subject Classification ID

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

Related Items (8)

Cyclic contractions and fixed point theorems on various generating spaces ⋮ Some fixed point results on generalized metric spaces ⋮ Fixed point results under c-distance in tvs-cone metric spaces ⋮ Some remarks on Perov type mappings in cone metric spaces ⋮ A unified theory of cone metric spaces and its applications to the fixed point theory ⋮ Nonlinear quasi-contractions in non-normal cone metric spaces ⋮ Quasi-contractions restricted with linear bounded mappings in cone metric spaces ⋮ Unnamed Item

Cites Work

• Cone uniform, cone locally convex and cone metric spaces, endpoints, set-valued dynamic systems and quasi-asymptotic contractions
• Cone metric spaces and fixed point theorems of contractive mappings
• Some notes on the paper ``Cone metric spaces and fixed point theorems of contractive mappings
• Some extensions of Banach's contraction principle in complete cone metric spaces
• Remarks on 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
• Some common fixed point results in cone metric spaces
• Common fixed points of two maps in cone metric spaces
• Weakly \(\varphi \)-pairs and common fixed points in cone metric spaces
• Remarks on ``Quasi-contraction on a cone metric space
• \(K\)-metric and \(K\)-normed linear spaces: Survey
• Common fixed points in cone metric spaces
• A Generalization of Banach's Contraction Principle
• Two fixed point theorems in topological and metric spaces
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