A new contribution to best proximity point theory on quasi metric spaces and an application to nonlinear integral equations

DOI10.1080/02331934.2022.2080550OpenAlexW4281567481MaRDI QIDQ6062864

Mustafa Aslantas

Publication date: 6 November 2023

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2022.2080550

zbMATH Keywords

quasi-metric spaceQ-functionbest proximity point theoremfixed point theorem, nonlinear Volterra-Freldhom integral equation

Mathematics Subject Classification ID

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

Cites Work

• Contractive multivalued maps in terms of \(Q\)-functions on complete quasimetric spaces
• A best proximity point theorem for weakly contractive non-self-mappings
• Some generalizations of Ekeland-type variational principle with applications to equilibrium problems and fixed point theory
• Approximate selections, best approximations, fixed points, and invariant sets
• Weakly contractive multivalued maps and \(w\)-distances on complete quasi-metric spaces
• A new approach to fractals via best proximity point
• On best proximity point results for some type of mappings
• Best proximity point results for \(p\)-proximal contractions
• Some best proximity point results via a new family of \(F\)-contraction and an application to homotopy theory
• Genericity in nonlinear analysis
• Proximinal Retracts and Best Proximity Pair Theorems
• On Quasi-Metric Spaces
• On fixed point results for a-implicit contractions in quasi-metric spaces and consequences
• Best proximity point theorems for cyclic p-contractions with some consequences and applications
• Best proximity point theorems for proximal b-cyclic contractions on b-metric spaces
• Best Proximity Points of MT-Cyclic Contractions with Property UC
• Some Remarks Concerning Contraction Mappings
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