Cyclic generalized contractions and fixed point results with applications to an integral equation

DOI10.1186/1687-1812-2012-217zbMath1398.54079OpenAlexW2124904658WikidataQ59271537 ScholiaQ59271537MaRDI QIDQ383376

Wutiphol Sintunavarat, Poom Kumam, Hemant Kumar Nashine

Publication date: 4 December 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-217

zbMATH Keywords

integral equationfixed pointcyclic generalized \((\mathcal F, \psi, L)\)-contraction

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (14)

Fixed point theorems for fuzzy mappings and applications to ordinary fuzzy differential equations ⋮ Common fixed point theorems for generalized cyclic contraction pairs in \(b\)-metric spaces with applications ⋮ Fixed point results of generalized cyclic contractive mappings in multiplicative metric spaces ⋮ Unnamed Item ⋮ Common fixed points of generalized cocyclic mappings in complex valued metric spaces ⋮ Common fixed points of generalized rational type cocyclic mappings in multiplicative metric spaces ⋮ \(G\)-\(\beta\)-\(\psi\)-contractive type mappings in \(G\)-metric spaces ⋮ Fixed point theorems on ordered metric spaces through a rational contraction ⋮ Dislocated metric space to metric spaces with some fixed point theorems ⋮ Generalized contractions with triangular \(\alpha\)-orbital admissible mapping on Branciari metric spaces ⋮ Cyclic-Prešić–Ćirić operators in metric-like spaces and fixed point theorems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some fixed point results for generalized contraction mappings with cyclic \((\alpha, \beta)\)-admissible mapping in multiplicative metric spaces

Cites Work

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• Fixed point theory for cyclic generalized contractions in partial metric spaces
• Coincidence and fixed points for contractions and cyclical contractions in partial metric spaces
• Common fixed points of \(f\)-weak contractions in cone metric spaces
• Common fixed point theorems for \(c\)-distance in ordered cone metric spaces
• Common fixed point theorem for cyclic generalized multi-valued contraction mappings
• Best proximity point theorems for generalized cyclic contractions in ordered metric spaces
• Fixed point theory for cyclic weak \(\phi\)-contraction
• Fixed point theory for cyclic \(\varphi\)-contractions
• On Nonlinear Contractions
• Some Remarks Concerning Contraction Mappings
• A Generalization of a Fixed Point Theorem of Reich

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