Fixed point theorems in partially ordered complete metric spaces
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Publication:646048
DOI10.1016/j.mcm.2011.01.035zbMath1225.54030OpenAlexW2016660927MaRDI QIDQ646048
Publication date: 11 November 2011
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2011.01.035
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (8)
Common fixed point theorems for \(\alpha-\psi\)-contractive type mappings ⋮ On fixed point theory of monotone mappings with respect to a partial order introduced by a vector functional in cone metric spaces ⋮ On fixed points of \({\alpha}\)-\({\psi}\)-contractive multifunctions ⋮ New results for set-valued mappings on ordered metric spaces ⋮ Some ordered fixed point results and the property (P) ⋮ Largest and least fixed point theorems of increasing mappings in partially ordered metric spaces ⋮ Fixed point theorems of set-valued mappings in partially ordered Hausdorff topological spaces ⋮ Fixed points of some new contractions on intuitionistic fuzzy metric spaces
Cites Work
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- Remarks on Caristi's fixed point theorem and Kirk's problem
- Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings
- Some generalizations of Caristi's fixed point theorem with applications to the fixed point theory of weakly contractive set-valued maps and the minimization problem
- Remarks on Caristi's fixed point theorem
- A generalization of Caristi's theorem with applications to nonlinear mapping theory
- Caristi's fixed point theorem and selections of set-valued contractions
- Fixed point theorems for weakly contractive multivalued maps.
- Generalized Caristi's fixed point theorems by Bae and others
- Converses to fixed point theorems of Zermelo and Caristi
- Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
- Caristi's fixed point theorem and metric convexity
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