Fixed point theorems for cyclic Meir-Keeler type mappings in complete metric spaces

DOI10.1186/1687-1812-2012-41zbMath1273.54047OpenAlexW2156327180WikidataQ59271067 ScholiaQ59271067MaRDI QIDQ368397

Mohammad Hasan, M. Dambrine, H. S. Yoon

Publication date: 23 September 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-41

zbMATH Keywords

fixed point theoremcyclic Meir-Keeler contractioncyclic orbital mappinggeneralized cyclic mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (12)

Application measure of noncompactness and operator type contraction for solvability of an infinite system of differential equations in lp-space ⋮ Nonlinear cyclic weak contractions in \(G\)-metric spaces and applications to boundary value problems ⋮ Best proximity points for asymptotic proximal pointwise weaker Meir-Keeler-type \(\psi\)-contraction mappings ⋮ Best proximity points and extension of Mizoguchi-Takahashi's fixed point theorems ⋮ Remarks on cyclic contractions in \(b\)-metric spaces and applications to integral equations ⋮ Fixed point theorems of generalized cyclic orbital Meir-Keeler contractions ⋮ Fixed point theorems for various classes of cyclic mappings ⋮ Set contractions and KKM mappings in Banach spaces ⋮ Fixed point theorems for cyclic self-maps involving weaker Meir-Keeler functions in complete metric spaces and applications ⋮ Dislocated metric space to metric spaces with some fixed point theorems ⋮ Best proximity points of p-cyclic orbital Meir–Keeler contraction maps ⋮ Common fixed points of generalized cyclic Meir-Keeler-type contractions in partially ordered metric spaces

Cites Work

• Unnamed Item
• Best proximity point theorems for cyclic orbital Meir-Keeler contraction maps
• Moudafi's viscosity approximations with Meir--Keeler contractions
• Assad-Kirk-type fixed point theorems for a pair of nonself mappings on cone metric spaces
• Best proximity points for cyclic Meir-Keeler contractions
• Fixed-point theorem for asymptotic contractions of Meir--Keeler type in complete metric spaces
• A theorem on contraction mappings
• On Fixed and Periodic Points Under Contractive Mappings
• On Nonlinear Contractions
• On Contractive Mappings

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