Fixed point theorems for generalized contractions in partially ordered metric spaces with semi-monotone metric

DOI10.1016/j.na.2010.10.053zbMath1221.54072OpenAlexW2014233778MaRDI QIDQ629297

Mircea-Dan Rus

Publication date: 9 March 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.10.053

zbMATH Keywords

fixed pointpartially ordered setperiodic boundary value problemcoupled fixed pointmixed monotone mappingcoupled upper and lower solutionsemi-monotone metricsymmetric Meir-Keeler type contraction

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (13)

Common fixed point theorems for \(\alpha-\psi\)-contractive type mappings ⋮ Some coincidence point theorems for nonlinear contraction in ordered metric spaces ⋮ On fixed points of \({\alpha}\)-\({\psi}\)-contractive multifunctions ⋮ Normal Cones and Thompson Metric ⋮ Fixed point results for mappings satisfying \((\psi ,\varphi )\)-weakly contractive condition in partially ordered metric spaces ⋮ Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces ⋮ Some ordered fixed point results and the property (P) ⋮ On \((\psi ,\varphi )\)-weakly contractive condition in partially ordered metric spaces ⋮ New fixed point theorems and application of mixed monotone mappings in partially ordered metric spaces ⋮ Leggett-Williams type theorems with applications to nonlinear differential and integral equations ⋮ The fixed point problem for systems of coordinate-wise uniformly monotone operators and applications ⋮ Contributions to the fixed point theory of diagonal operators ⋮ Contractive Operators in Relational Metric Spaces

Cites Work

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• Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations
• Coupled fixed points of nonlinear operators with applications
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• Generalized contractions in partially ordered metric spaces

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