Some equivalences between cone \(b\)-metric spaces and \(b\)-metric spaces

DOI10.1155/2013/573740zbMath1292.54027OpenAlexW2091600455WikidataQ58917152 ScholiaQ58917152MaRDI QIDQ2015754

Vo Thi Le Hang, Poom Kumam, Nguyen Van Dung

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/573740

Mathematics Subject Classification ID

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

Related Items (22)

The Banach contraction principle in \(C^{*}\)-algebra-valued \(b\)-metric spaces with application ⋮ On relaxations of contraction constants and Caristi's theorem in \(b\)-metric spaces ⋮ Fixed point theorems of generalized contraction mappings on \(\varpi\)-cone metric spaces over Banach algebras ⋮ New fixed point theorems for \(\theta\)-\(\phi \)-contraction on rectangular \(b\)-metric spaces ⋮ Non-solid cone \(b\)-metric spaces over Banach algebras and fixed point results of contractions with vector-valued coefficients ⋮ Ćirić's and Fisher's quasi-contractions in the framework of \(wt\)-distance ⋮ Ćirić-generalized contraction via wt−distance ⋮ Fixed points for generalized contractions via rational expressions in partially ordered \(b\)-metric spaces and applications to integral equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed point theorems in \(b\)-metric spaces and their applications to non-linear fractional differential and integral equations ⋮ Unnamed Item ⋮ Stone-type theorem on \(b\)-metric spaces and applications ⋮ Some Caristi-type fixed point theorems ⋮ Fixed point theorems for weakly beta-admissible pair of F-contractions with application ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ 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

• Suzuki-type fixed point results in metric type spaces
• On the metrizability of cone metric spaces
• Common fixed point results in metric-type spaces
• KKM mappings in cone \(b\)-metric spaces
• Fixed point theory in cone metric spaces obtained via the scalarization method
• A note on cone metric fixed point theory and its equivalence
• Cone metric spaces and fixed point theorems of contractive mappings
• 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
• A note on cone \(b\)-metric and its related results: generalizations or equivalence?
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