scientific article; zbMATH DE number 7115516

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Publication date: 10 October 2019

Full work available at URL: http://math-frac.org/Journals/EJMAA/Vol8(1)_Jan_2020/Vol8(1)_Papers/Volume8(1)_Paper24_Abstract.html

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zbMATH Keywords

fixed point metric space \(S\)-metric space generalized \(\alpha\)-\(\psi\)-Geraghty contraction type map generalized \(\beta\)-\(\psi\)-Geraghty contraction type map

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

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A best proximity point theorem for Geraghty-contractions
Fixed point theorems for \(\alpha\)-Geraghty contraction type maps in metric spaces
Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
Generalized \(\alpha\)-\(\psi\) contractive type mappings and related fixed point theorems with applications
Common fixed point theorems for mappings satisfying property (E.A) on cone metric spaces
Cone metric spaces and fixed point theorems of contractive mappings
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Best proximity points for Geraghty's proximal contraction mappings
Some new contractive mappings on \(S\)-metric spaces and their relationships with the mapping (S25)
A generalization for the best proximity point of Geraghty-contractions
Geraghty-type theorems in modular metric spaces with an application to partial differential equation
α-ψ-Geraghty contraction type mappings and some related fixed point results
A Comparison of Various Definitions of Contractive Mappings
Generalized contractions in partially ordered metric spaces
On Contractive Mappings
Edelstein type fixed point theorems
A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations