Best proximity points for generalized \(\alpha\)-\(\phi\)-Geraghty proximal contraction mappings and its applications

DOI10.1186/s13663-016-0561-0zbMath1505.54069OpenAlexW2467441473WikidataQ59462673 ScholiaQ59462673MaRDI QIDQ737222

Rahmatollah Lashkaripour, Javad Hamzehnejadi

Publication date: 9 August 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-016-0561-0

zbMATH Keywords

fixed pointbest proximity pointgeneralized \(\alpha\)-\(\phi\)-Geraghty proximal contraction mappingGeraghty contraction mapping

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (4)

Discussion on the fixed point problems with constraint inequalities ⋮ Applying new fixed point theorems on fractional and ordinary differential equations ⋮ Unnamed Item ⋮ Best proximity points of roximal contractive mappings in partially ordered complete metric spaces

Cites Work

• Best proximity points for \(\alpha\)-\(\psi\)-proximal contractive type mappings and applications
• Fixed point theorems for \(\alpha\)-Geraghty contraction type maps in metric spaces
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Global optimal solutions of noncyclic mappings in metric spaces
• Generalized \(\alpha\)-\(\psi\) contractive type mappings and related fixed point theorems with applications
• A best proximity point theorem for weakly contractive non-self-mappings
• Existence and convergence of best proximity points
• On best proximity point of \(\psi\)-Geraghty contractions
• Best proximity point theorems via proximal non-self mappings
• Best proximity points for generalized \(\alpha-\psi\)-proximal contractive type mappings
• A generalization for the best proximity point of Geraghty-contractions
• A discussion on "α-ψ-Geraghty contraction type mappings"
• Fixed point theorems for generalized α−η−ψ− Geraghty contraction type mappings in α−η− complete metric spaces
• On Contractive Mappings

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