A note on cone \(b\)-metric and its related results: generalizations or equivalence?
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Publication:2510633
DOI10.1186/1687-1812-2013-210zbMath1293.54021OpenAlexW2147574713WikidataQ59299444 ScholiaQ59299444MaRDI QIDQ2510633
Publication date: 1 August 2014
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2013-210
Metric spaces, metrizability (54E35) Fixed-point and coincidence theorems (topological aspects) (54H25)
Related Items (19)
The Górnicki-Proinov type contraction on quasi-metric spaces ⋮ Some fixed point results on generalized metric spaces ⋮ Some topological properties and fixed point results in cone metric spaces over Banach algebras ⋮ Fixed point theorems of generalized contraction mappings on \(\varpi\)-cone metric spaces over Banach algebras ⋮ Continuous controlled cone metric-type spaces over real Banach algebras and fixed-point results ⋮ A fixed point theorem and an application for the Cauchy problem in the scale of Banach spaces ⋮ Common fixed point theorems for T-Hardy-Rodgers contraction mappings in complete cone b-metric spaces with an application ⋮ Non-solid cone \(b\)-metric spaces over Banach algebras and fixed point results of contractions with vector-valued coefficients ⋮ Unnamed Item ⋮ A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces ⋮ Tripled random coincidence point and common fixed point results of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras ⋮ Fixed points of Perov type contractive mappings on the set endowed with a graphic structure ⋮ On mixed \(g\)-monotone and \(w\)-compatible mappings in ordered cone \(b\)-metric spaces ⋮ Iterative approximation of fixed points of quasi-contraction mappings in cone metric spaces ⋮ Some equivalences between cone \(b\)-metric spaces and \(b\)-metric spaces ⋮ Common tripled fixed point results in cone metric type spaces ⋮ Extended \(N_b\)-cone metric spaces over Banach algebra with an application ⋮ Various generalizations of metric spaces and fixed point theorems ⋮ A note on the equivalence of some metric and \(H\)-cone metric fixed point theorems for multivalued contractions
Cites Work
- KKM mappings in cone \(b\)-metric spaces
- A note on cone metric fixed point theory and its equivalence
- Cone metric spaces and fixed point theorems of contractive mappings
- On some nonlinear problems induced by an abstract maximal element principle
- Fixed point theorems of contractive mappings in cone \(b\)-metric spaces and applications
- Common fixed point theorems for two weakly compatible self-mappings in cone \(b\)-metric spaces
- Vector optimization. Set-valued and variational analysis.
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