A new type of \(F\)-contraction and their best proximity point results with homotopy application

DOI10.1007/s10440-022-00496-9zbMath1498.54100OpenAlexW4281564391MaRDI QIDQ2145677

Hakan Sahin

Publication date: 17 June 2022

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-022-00496-9

zbMATH Keywords

multivalued mappingsfixed pointhomotopybest proximity point\(F\)-contraction

Mathematics Subject Classification ID

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

Related Items (2)

Nonunique best proximity point results with an application to nonlinear fractional differential equations ⋮ Fixed point theorems for F- contraction mapping in complete rectangular M-metric space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solvability of integrodifferential problems via fixed point theory in \(b\)-metric spaces
• Fixed points of a new type of contractive mappings in complete metric spaces
• The existence of best proximity points for multivalued non-self-mappings
• Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings
• Approximate selections, best approximations, fixed points, and invariant sets
• A note on some best proximity point theorems proved under \(P\)-property
• A new approach to fractals via best proximity point
• Two fixed point results for multivalued \(F\)-contractions on \(M\)-metric spaces
• Topological fixed point theory for compact multifunctions via homotopy and essential maps
• Common fixed point results for fuzzy mappings on complex-valued metric spaces with homotopy results
• Fixed points for multivalued Suzuki type \((\theta, \mathscr{R})\)-contraction mapping with applications
• Multi-valued contraction mappings
• FIXED POINTS OF ORDERED F-CONTRACTIONS
• Fixed point results and an application to homotopy in modular metric spaces
• Proximinal Retracts and Best Proximity Pair Theorems
• Best proximity point theorems for cyclic p-contractions with some consequences and applications
• Modified F-contractions via α-admissible mappings and application to integral equations
• Best proximity point theory on vector metric spaces
• Best proximity point theorems for proximal b-cyclic contractions on b-metric spaces
• A homotopy fixed point theorem in 0-complete partial metric space
• Digital homotopy fixed point theory

This page was built for publication: A new type of \(F\)-contraction and their best proximity point results with homotopy application