Fixed point theorems for \(\alpha\)-Geraghty contraction type maps in metric spaces

DOI10.1186/1687-1812-2013-329zbMath1423.54073OpenAlexW2163158752WikidataQ59300503 ScholiaQ59300503MaRDI QIDQ402525

Erdal Karapınar, Jong-Sook Bae, Seong-Hoon Cho

Publication date: 28 August 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-329

zbMATH Keywords

fixed pointmetric space\(\alpha\)-Geraghty contraction type mapcontraction type mapping

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (43)

Some remarks on \(\alpha \)-admissibility in \(S\)-metric spaces ⋮ On common \(\alpha\)-fuzzy fixed points with applications ⋮ Applying new fixed point theorems on fractional and ordinary differential equations ⋮ SOME FIXED POINT THEORY RESULTS FOR CONVEX CONTRACTION MAPPING OF ORDER 2 ⋮ Infinite Geraghty type extensions and their applications on integral equations ⋮ Common fixed point theorems for auxiliary functions with applications in fractional differential equation ⋮ A new class of contraction in \(b\)-metric spaces and applications ⋮ Some new fixed point theorems for \(\alpha\)-Geraghty contraction type maps in metric spaces ⋮ Best proximity coincidence point theorems for generalized non-linear contraction mappings ⋮ Unnamed Item ⋮ Common fixed point results for generalized \(\alpha _{*}\)-\(\psi\)-contraction multivalued mappings in \(b\)-metric spaces ⋮ Novel results of \(\boldsymbol{\alpha_{\ast}}\)-\(\boldsymbol{\psi}\)-\(\boldsymbol{\Lambda}\)-contraction multivalued mappings in \(F\)-metric spaces with an application ⋮ Common fixed point results of \((\alpha - \psi, \varphi)\)-contractions for a pair of mappings and applications ⋮ Fixed point theorems for ;1-;2_M-Geraghty type contractions with applications in matrix equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed points for φE-Geraghty contractions ⋮ New results on Perov-interpolative contractions of Suzuki type mappings ⋮ SOME FIXED POINT RESULTS FOR ADMISSIBLE GERAGHTY CONTRACTION TYPE MAPPINGS IN FUZZY METRIC SPACES ⋮ Best proximity point results for Hardy-Rogers \(p\)-proximal cyclic contraction in uniform spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed points of admissible almost contractive type mappings on \(b\)-metric spaces with an application to quadratic integral equations ⋮ A note on `\(\psi\)-Geraghty type contractions' ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A short note on the common fixed points of the Geraghty contraction of type \(E_{S,T}\) ⋮ Coincidence best proximity points for geraghty type proximal cyclic contractions ⋮ Fixed point results for Geraghty quasi-contraction type mappings in dislocated quasi-metric spaces ⋮ Best proximity points for generalized \(\alpha\)-\(\phi\)-Geraghty proximal contraction mappings and its applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ SOME COMMON FIXED POINT RESULTS FOR RATIONAL CONTRACTION TYPE VIA THE C-CLASS FUNCTIONS ON METRIC SPACES ⋮ SOME EXISTENCE AND UNIQUENESS THEOREMS ON ORDERED METRIC SPACES VIA GENERALIZED DISTANCES UNDER NEW CONTROL FUNCTIONS ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed points for α-βE-Geraghty contractions on b-metric spaces and applications to matrix equations ⋮ Convergence theorems for generalized contractions and applications ⋮ \(\alpha\)-\(\psi\)-Geraghty contractions on generalized metric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• A best proximity point theorem for Geraghty-contractions
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Generalized \(\alpha\)-\(\psi\) contractive type mappings and related fixed point theorems with applications
• Coincidence and common fixed and periodic point theorems in cone metric spaces
• Common fixed point theorems for mappings satisfying property (E.A) on cone metric spaces
• Cone metric spaces and fixed point theorems of contractive mappings
• On \(\alpha\)-\(\psi\)-Meir-Keeler contractive mappings
• A general finite element formulation for fractional variational problems
• A Comparison of Various Definitions of Contractive Mappings
• On Contractive Mappings
• A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations

This page was built for publication: Fixed point theorems for \(\alpha\)-Geraghty contraction type maps in metric spaces