Fixed points for cyclic orbital generalized contractions on complete metric spaces

DOI10.2478/S11533-012-0145-0zbMath1281.54028OpenAlexW2093787795MaRDI QIDQ1939372

Erdal Karapınar, Kenan Tas, Salvador Romaguera

Publication date: 4 March 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/39514

zbMATH Keywords

fixed pointcomplete metric spacecyclic generalized contraction

Mathematics Subject Classification ID

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

Related Items (10)

Connecting various types of cyclic contractions and contractive self-mappings with Hardy-Rogers self-mappings ⋮ Fixed point theorems for a class of generalized weak cyclic compatible contractions ⋮ A fixed point theorem for preordered complete fuzzy quasi-metric spaces and an application ⋮ Best proximity point results for MK-proximal contractions ⋮ Unnamed Item ⋮ Fixed point theorems of generalized cyclic orbital Meir-Keeler contractions ⋮ Fixed point theorems for cyclic self-maps involving weaker Meir-Keeler functions in complete metric spaces and applications ⋮ Best proximity points of p-cyclic orbital Meir–Keeler contraction maps ⋮ Unnamed Item ⋮ Common fixed points of generalized cyclic Meir-Keeler-type contractions in partially ordered metric spaces

Cites Work

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• Best proximity point theorems for cyclic orbital Meir-Keeler contraction maps
• Best proximity points of cyclic \(\varphi\)-contractions in ordered metric spaces
• Existence and convergence of best proximity points
• Convergence and existence results for best proximity points
• Proximal pointwise contraction
• Equivalent conditions and the Meir-Keeler type theorems
• Best proximity points for cyclic Meir-Keeler contractions
• Fixed point theory for cyclic weak \(\phi\)-contraction
• A theorem on contraction mappings
• Fixed point theory for cyclic \(\varphi\)-contractions
• A Note on Existence and Convergence of Best Proximity Points for Pointwise Cyclic Contractions
• Equivalence of some contractivity properties over metrical structures
• On Nonlinear Contractions

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