A generalization for the best proximity point of Geraghty-contractions
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Publication:2436130
DOI10.1186/1029-242X-2013-286zbMath1281.54020WikidataQ59300068 ScholiaQ59300068MaRDI QIDQ2436130
Nurcan Bilgili, Erdal Karapınar, Kishin Sadarangani
Publication date: 21 February 2014
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)
Related Items (20)
Best proximity point results in partially ordered metric spaces via simulation functions ⋮ Applying new fixed point theorems on fractional and ordinary differential equations ⋮ Some new fixed point theorems for \(\alpha\)-Geraghty contraction type maps in metric spaces ⋮ Unnamed Item ⋮ A best proximity point theorem for \(\alpha \)-proximal Geraghty non-self mappings ⋮ Interpolative Prešić type contractions and related results ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Best proximity coincidence point results for \((\alpha,D)\)-proximal generalized Geraghty mappings in \(JS\)-metric spaces ⋮ Best proximity point theorems for \((G,D)\)-proximal Geraghty maps in \(JS\)-metric spaces ⋮ Fixed points for φE-Geraghty contractions ⋮ Unnamed Item ⋮ Best proximity points for generalized proximal weak contractions in partially ordered metric spaces ⋮ Unnamed Item ⋮ Best proximity points of generalized almost \(\psi\)-Geraghty contractive non-self-mappings ⋮ A note on `\(\psi\)-Geraghty type contractions' ⋮ Best proximity points for generalized \(\alpha\)-\(\phi\)-Geraghty proximal contraction mappings and its applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(\alpha\)-\(\psi\)-Geraghty contractions on generalized metric spaces
Cites Work
- A best proximity point theorem for weakly contractive non-self-mappings
- Best proximity points of cyclic mappings
- Existence and convergence of best proximity points
- Best approximation theorems for nonexpansive and condensing mappings in hyperconvex spaces
- Convergence and existence results for best proximity points
- Proximal pointwise contraction
- Best proximity point theorems for generalized cyclic contractions in ordered metric spaces
- Best proximity pair theorems for multifunctions with open fibres
- Proximinal Retracts and Best Proximity Pair Theorems
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