A common fixed point theorem for nonlinear quasi-contractions on \(b\)-metric spaces with application in integral equations

DOI10.1155/2020/2840482zbMath1477.54107OpenAlexW3089608170MaRDI QIDQ2246091

Zoran D. Mitrović, Vesna Mišić, Abdollah Dinmohammadi, Vahid Parvaneh, Ivan D. Aranđelović

Publication date: 15 November 2021

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/2840482

zbMATH Keywords

contractionfixed pointintegral equations\(b\)-metric space

Mathematics Subject Classification ID

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

Cites Work

• Symmetric spaces approach to some fixed point results
• Nonlinear quasicontractions in complete metric spaces
• On coincidence and fixed-point theorems in symmetric spaces
• Fixed points of mappings of metric spaces
• Symmetric spaces and fixed points of generalized contractions
• Common fixed point results for noncommuting mappings without continuity in cone metric spaces
• Semi-metric spaces and fixed points of α−φ -contractive maps
• Nonlinear Contractions on Semimetric Spaces
• Common Fixed Point Theorems for Commuting Maps on a Metric Space
• Two fixed point theorems in topological and metric spaces
• Extensions of Hardy spaces and their use in analysis
• A Comparison of Various Definitions of Contractive Mappings
• Fixed point theory in symmetric spaces with applications to probabilistic spaces
• Fixed points of α-dominated mappings on dislocated quasi metric spaces
• Linear Topological Spaces
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