On the solutions of a class of nonlinear integral equations in cone $b$-metric spaces over Banach algebras

DOI10.15330/CMP.11.1.163-178zbMath1430.45004OpenAlexW2956102372MaRDI QIDQ5233451

Tran Van An, Le Thanh Quan

Publication date: 11 September 2019

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.11.1.163-178

zbMATH Keywords

integral equationfixed point\(\varphi\)-contractioncone \(b\)-metric space over Banach algebra\(\mathfrak{c}\)-sequence

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Metric spaces, metrizability (54E35) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

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• Fixed point results for weak \(\varphi\)-contractions in cone metric spaces over Banach algebras and applications
• 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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