Fixed points vs. coupled fixed points

DOI10.1007/s11784-018-0630-6zbMath1398.54083OpenAlexW2895948926WikidataQ129092788 ScholiaQ129092788MaRDI QIDQ1615360

Adrian Petruşel

Publication date: 30 October 2018

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

Full work available at URL: https://doi.org/10.1007/s11784-018-0630-6

zbMATH Keywords

conefixed pointBanach spacedemi-continuous mappingcoupled fixed pointcontraction mappingmonotone mappingmixed monotone mappingcondensing mappingcompletely continuous mappingpartially order

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (6)

Existence of coupled fixed point via measure of noncompactness ⋮ Unnamed Item ⋮ A variational principle and coupled fixed points ⋮ A variational principle, coupled fixed points and market equilibrium ⋮ Fixed point theory in graph metric spaces ⋮ Order uniform convexity in Banach spaces with an application

Cites Work

• \(F\)-closed sets and coupled fixed point theorems without the mixed monotone property
• Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces
• Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
• A study of a general system of operator equations in \(b\)-metric spaces via the vector approach in fixed point theory
• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Fixed point theorems in partially ordered metric spaces and applications
• Coupled fixed points of nonlinear operators with applications
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Contraction Maps in Ordered Metrical Structures
• Set-valued Optimization
• Fixed point theorems in ordered 𝐿-spaces
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