Fixed point theorems for mappings with convex diminishing diameters on cone metric spaces

DOI10.1016/j.aml.2011.06.019zbMath1230.54033OpenAlexW2036246960MaRDI QIDQ654272

Stojan Radenović, Shahrazad H. Alnafei, Naseer Shahzad

Publication date: 28 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.aml.2011.06.019

zbMATH Keywords

fixed pointcone metric spaceslocally convex diminishing diameterslocally power diminishing diametersstrongly minihedral

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (10)

Some topological properties and fixed point results in cone metric spaces over Banach algebras ⋮ Cantor's intersection theorem for \(K\)-metric spaces with a solid cone and a contraction principle ⋮ Fixed point theorems for multivalued maps in cone metric spaces ⋮ On fixed point theory of monotone mappings with respect to a partial order introduced by a vector functional in cone metric spaces ⋮ Fixed point theorems for multivalued contractive mappings and multivalued Caristi type mappings in cone metric spaces ⋮ Approximate fixed points of generalized convex contractions ⋮ Some remarks on Perov type mappings in cone metric spaces ⋮ Unnamed Item ⋮ Some fixed point results regarding convex contractions of Presić type ⋮ Fixed point and common fixed point results in cone metric space and application to invariant approximation

Cites Work

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• Quasi-contractions on symmetric and cone symmetric spaces
• Cone metric spaces and fixed point theorems of contractive mappings
• Some notes on fixed points of quasi-contraction maps
• Quasi-contraction on a cone metric space
• Fixed point results for generalized quasicontraction mappings in abstract metric spaces
• KKM mappings in cone metric spaces and some fixed point theorems
• Some fixed point theorems for convex contraction mappings and mappings with convex diminishing diameters. I
• Cone metric spaces and fixed point theorems in diametrically contractive mappings
• Quasicone metric spaces and generalizations of Caristi Kirk's theorem
• Order Norm Completions of Cone Metric Spaces

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