A generalized Banach fixed point theorem

DOI10.1007/s40840-015-0255-5zbMath1355.54058OpenAlexW2291122510MaRDI QIDQ503530

Satish Shukla, Sriram Balasubramanian, Mirjana Pavlović

Publication date: 13 January 2017

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-015-0255-5

zbMATH Keywords

contractionBanach algebrafixed pointcone metric spacecone rectangular metric space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (10)

Some coincidence and common fixed-point results on cone \(b_2\)-metric spaces over Banach algebras with applications to the infinite system of integral equations ⋮ Some topological properties and fixed point results in cone metric spaces over Banach algebras ⋮ Fixed point results for weak \(\varphi\)-contractions in cone metric spaces over Banach algebras and applications ⋮ A coincidence-point problem of Perov type on rectangular cone metric spaces ⋮ Some results of Perov type in rectangular cone metric spaces ⋮ Fixed-point results for generalized \(\alpha\)-admissible Hardy-Rogers' contractions in cone \(\mathfrak{b}_2\)-metric spaces over Banach's algebras with application ⋮ Some fixed point theorems of contractive mappings in \(\mathcal{P}_b^r\)-cone metric spaces over Banach algebras ⋮ Nadler mappings in cone \(b\)-metric spaces over Banach algebras ⋮ Unnamed Item ⋮ Cone Rectangular Metric Spaces over Banach Algebras and Fixed Point Results of T-Contraction Mappings

Cites Work

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• Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings
• 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
• Common fixed point theorems for weakly compatible pairs on cone metric spaces
• A common fixed point theorem in abstract spaces
• \(K\)-metric and \(K\)-normed linear spaces: Survey
• THE KANNANS FIXED POINT THEOREM IN A CONE RECTANGULAR METRIC SPACE
• Banach contraction principle on cone rectangular metric spaces

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