Algebra cone generalized b-metric space over Banach algebra and fixed point theorems of generalized Lipschitz mappings

DOI10.1142/S1793557118500687zbMath1401.54022OpenAlexW2626481759MaRDI QIDQ4556413

Jagannath N. Salunke, Aziz Ahmed

Publication date: 16 November 2018

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557118500687

zbMATH Keywords

fixed pointcone metric space over Banach algebracone \(b\)-metric spacealgebra cone\(c\)-sequence

Mathematics Subject Classification ID

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

Related Items (4)

Common new fixed point results on b-cone Banach spaces over Banach algebras ⋮ Common fixed point theorems on quasi-cone metric space over a divisible Banach algebra ⋮ Unnamed Item ⋮ Some extension results on cone \(b\)-metric spaces over Banach algebras via \(\varphi\)-operator

Cites Work

• Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality
• Algebraic cone metric spaces and fixed point theorems of contractive mappings
• Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings
• Cones in Banach algebras
• Cone metric spaces and fixed point theorems of contractive mappings
• Fixed point theorem for two non-self mappings in cone metric spaces
• Common fixed point theorems of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras and applications
• A sharp generalization on cone b-metric space over Banach algebra
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