Existence of best proximity point with an application to nonlinear integral equations
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Publication:2051635
DOI10.1155/2021/3886659zbMath1477.54148OpenAlexW3202590022MaRDI QIDQ2051635
Publication date: 24 November 2021
Published in: Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/3886659
metric spacebest proximity point\(\varrho\)-\(\vartheta\)-contraction mappingmodified \(\varrho\)-proximal admissible mapping
Other nonlinear integral equations (45G10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)
Cites Work
- Some results on best proximity points
- Existence and convergence of best proximity points
- Approximate selections, best approximations, fixed points, and invariant sets
- Best proximity point for \(\alpha\)-\(\psi\)-proximal contractive multimaps
- Ulam-Hyers stability and well-posedness of fixed point problems for \(\alpha\)-\(\lambda\)-contraction mapping in metric spaces
- Best proximity pair theorems for multifunctions with open fibres
- Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings
- Fixed point for \(\alpha \)-\(\varTheta \)-\(\varPhi \)-contractions and first-order periodic differential problem
- Extensions of two fixed point theorems of F. E. Browder
- Fixed Point Theory in Distance Spaces
- On Contractive Mappings
