Generalized coupled common fixed point results in partially ordered \(A\)-metric spaces

DOI10.1186/s13663-015-0309-2zbMath1314.54027OpenAlexW1573152089WikidataQ59432258 ScholiaQ59432258MaRDI QIDQ2347566

Yusuf I. Suleiman, Mujahid Abbas, Bashir Ali

Publication date: 28 May 2015

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

Full work available at URL: https://doi.org/10.1186/s13663-015-0309-2

zbMATH Keywords

coupled common fixed point\(A\)-metric spaces\(G\)-metric spaces2-metric spaces\(D\)-metric spaces\(D^{*}\)-metric spaces\(S\)-metric spacesmixed weakly monotone maps

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 (17)

Connecting various types of cyclic contractions and contractive self-mappings with Hardy-Rogers self-mappings ⋮ \(V\)-fuzzy metric space and related fixed point theorems ⋮ Unnamed Item ⋮ Remarks on asymptotic regularity in A-metric spaces ⋮ Certain fixed point results on \(\mathfrak{U}\)-metric space using Banach orbital contraction and asymptotic regularity ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some Coupled fixed point theorems in partially ordered A_b-metric space ⋮ On strong coupled coincidence points of \(g\)-couplings and an application ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The A-cone metric space over Banach algebra with applications ⋮ Fixed-point theorem for multivalued quasi-contraction maps in a \(V\)-fuzzy metric space ⋮ Unnamed Item ⋮ Nadler's fixed point results in dislocated Hausdorff A-metric spaces ⋮ Some modified fixed point results in \(V\)-fuzzy metric spaces

Cites Work

• Common fixed points of mappings satisfying implicit contractive conditions
• Coupled common fixed point theorems for mixed weakly monotone mappings in partially ordered metric spaces
• Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces
• Some fixed point theorem for mapping on complete \(G\)-metric spaces
• Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces
• A coupled coincidence point result in partially ordered metric spaces for compatible mappings
• Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces
• Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
• A note on fixed points in 2-metric spaces
• On the topology of \(D\)-metric spaces and generation of \(D\)-metric spaces from metric spaces
• A general finite element formulation for fractional variational problems
• On coupled common fixed points for mixed weakly monotone maps in partially ordered S-metric spaces
• A common fixed point theorem in \(D^{*}\)-metric spaces
• Fixed point theorems in partially ordered metric spaces and applications
• On the concepts of balls in a \(D\)-metric space
• 2‐metrische Räume und ihre topologische Struktur
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generalized coupled common fixed point results in partially ordered \(A\)-metric spaces