Fixed point results for almost generalized cyclic \((\psi, \varphi)\)-weak contractive type mappings with applications

DOI10.1155/2012/917831zbMath1246.54041OpenAlexW1972460502WikidataQ58697087 ScholiaQ58697087MaRDI QIDQ448853

Mohamed Jleli, Bessem Samet, Erdal Karapınar

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/917831

zbMATH Keywords

almost generalized cyclic \((\psi, \varphi)\)-weak contractive type mappingsnonlinear integral equations.

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Singular nonlinear integral equations (45G05)

Related Items

Cyclic contractions and fixed point results via control functions on partial metric spaces ⋮ Best proximity point results for MK-proximal contractions ⋮ Fixed point sets of multivalued rational contractions with stability analysis ⋮ Common fixed point results for a generalized ( ψ, φ )-rational contraction ⋮ A study on common fixed point of joint \((A; B)\) generalized cyclic \(\phi\)-\(abc\) weak nonexpansive mappings and generalized cyclic \(abc;r\) contractions in quasi metric spaces ⋮ Invariant approximation results via common fixed point theorems for generalized weak contraction maps ⋮ Fixed point theorems for various classes of cyclic mappings ⋮ Common fixed point results for generalized cyclic contraction mappings ⋮ Unnamed Item ⋮ Common fixed points of generalized cyclic Meir-Keeler-type contractions in partially ordered metric spaces

Cites Work

• Common fixed point theorems for generalized \(\mathcal{JH}\)-operator classes and invariant approximations
• Generalized common fixed point theorems in complex valued metric spaces and applications
• Fixed point theory for cyclic generalized contractions in partial metric spaces
• Quasi-contractive mappings in modular metric spaces
• Weak condition for generalized multi-valued \((f,\alpha ,\beta )\)-weak contraction mappings
• Common fixed points of almost generalized contractive mappings in ordered metric spaces
• Common fixed point theorem for hybrid generalized multi-valued contraction mappings
• A common fixed point theorem of Meir and Keeler type
• Best proximity points of cyclic mappings
• Common fixed point for generalized \((\psi ,\varphi )\)-weak contractions
• Compatible mappings and common fixed points. II
• A theorem of Meir-Keeler type revisited
• Best proximity point theorems for generalized cyclic contractions in ordered metric spaces
• Berinde mappings in orbitally complete metric spaces
• Fixed point theory for cyclic weak \(\phi\)-contraction
• A theorem on contraction mappings
• Fixed point theory for cyclic \(\varphi\)-contractions
• A common fixed point theorem for cyclic operators on partial metric spaces
• Cyclic contractions and fixed point theorems
• Commuting Mappings and Fixed Points
• On common fixed points of weakly compatible mappings satisfying ‘generalized condition (B)’
• A Generalization of a Fixed Point Theorem of Reich
• Fixed point theorems in metric spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item