Coupled fixed point theorems for nonlinear contractions without mixed monotone property

DOI10.1186/1687-1812-2012-170zbMath1469.54191OpenAlexW2141092213WikidataQ59288097 ScholiaQ59288097MaRDI QIDQ385699

Wutiphol Sintunavarat, Poom Kumam, Yeol Je Cho

Publication date: 2 December 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-170

zbMATH Keywords

partially ordered setcoupled fixed pointmixed monotone property\(F\)-invariant settransitive property

Mathematics Subject Classification ID

Complete metric spaces (54E50) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Coupled coincidence point theorems for contractions without commutative condition in intuitionistic fuzzy normed spaces
• Fixed point theorems for contraction mappings in modular metric spaces
• Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type
• Generalization of fixed point theorems in ordered metric spaces concerning generalized distance
• Coupled best proximity point theorem in metric spaces
• Coupled fixed-point theorems for contraction mapping induced by cone ball-metric in partially ordered spaces
• Coupled fixed point theorems for contractions in intuitionistic fuzzy normed spaces
• Coupled fixed point, \(F\)-invariant set and fixed point of \(N\)-order
• Coupled fixed points of weakly \(F\)-contractive mappings in topological spaces
• Common fixed point theorems on generalized distance in ordered cone metric spaces
• Weak condition for generalized multi-valued \((f,\alpha ,\beta )\)-weak contraction mappings
• Common fixed point theorem for hybrid generalized multi-valued contraction mappings
• Common fixed point theorems for \(c\)-distance in ordered cone metric spaces
• Existence of periodic solutions for the thermistor problem with the Joule-Thomson effect
• Coupled fixed point theorems in partially ordered \(G\)-metric spaces
• Gregus type fixed points for a tangential multi-valued mappings satisfying contractive conditions of integral type
• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• Fixed point theorems in partially ordered metric spaces and applications
• THE EXISTENCE RESULTS OF COUPLED QUASI-SOLUTIONS FOR A CLASS OF OPERATOR EQUATIONS
• Coupled fixed points of nonlinear operators with applications
• A proof of the Generalized Banach Contraction Conjecture
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• On Nonlinear Contractions

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