Common coupled fixed point theorems for Geraghty-type contraction mappings using monotone property

DOI10.1186/S13663-015-0278-5zbMath1395.54048OpenAlexW2135494433WikidataQ59306901 ScholiaQ59306901MaRDI QIDQ2017692

Wutiphol Sintunavarat, Zoran Kadelburg, Poom Kumam, Stojan Radenović

Publication date: 23 March 2015

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

Full work available at URL: https://doi.org/10.1186/s13663-015-0278-5

zbMATH Keywords

coupled fixed pointpartially ordered metric spacemixed monotone propertyGeraghty-type condition

Mathematics Subject Classification ID

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)

Related Items (20)

Common fixed point theorems for Geraghty's type contraction mappings using the monotone property with two metrics ⋮ Common coupled fixed point theorems for \(\theta\)-\(\psi\)-contraction mappings endowed with a directed graph ⋮ Upper class of type I on coupled coincidence point results for some contractions in partially ordered \(JS\)-metric spaces ⋮ Generalization contractive mappings on rectangular \(b\)-metric space ⋮ Existence of a common solution to systems of integral equations via fixed point results ⋮ Fixed points of T-Hardy Rogers type mappings and coupled fixed point results in multiplicative metric spaces ⋮ New results for set-valued mappings on ordered metric spaces ⋮ Fixed Point Theorems for Geraghty Type Contraction Mappings in Complete Partial $b_{v}\left( s\right) $-Metric Spaces ⋮ Unnamed Item ⋮ Some Coupled fixed point theorems in partially ordered A_b-metric space ⋮ Generalized coupled fixed points and its application to a class of systems of functional equations arising in dynamic programming ⋮ Coupled coincidence point theorems for (α-μ-ψ-H-F)-two sided-contractive type mappings in partially ordered metric spaces using compatible mappings ⋮ Fixed point theorems via MNC in ordered Banach space with application to fractional integro-differential evolution equations ⋮ Common coupled fixed point theorem for Geraghty-type contraction in partially ordered metric spaces ⋮ A variational principle and coupled fixed points ⋮ Existence, uniqueness and well-posedness results for relation theoretic coupled fixed points problem using \(\mathbf{C}\)-class function with some consequences and an application ⋮ On coupled common fixed point theorems for nonlinear contractions with the mixed weakly monotone property in partially ordered \(S\)-metric spaces ⋮ Unified Multi-tupled Fixed Point Theorems Involving Monotone Property in Ordered Metric Spaces ⋮ Unnamed Item ⋮ Existence, well-posedness of coupled fixed points and application to nonlinear integral equations

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