Global optimization in metric spaces with partial orders
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Publication:5169459
DOI10.1080/02331934.2012.685238zbMath1291.90180OpenAlexW2032835035MaRDI QIDQ5169459
Publication date: 10 July 2014
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2012.685238
fixed pointpartially ordered setbest proximity pointoptimal approximate solutionincreasing mappingproximally increasing mappingordered contractionordered proximal contraction
Related Items (2)
Coincidence Best Proximity Point Results via $$ w_{p}$$-Distance with Applications ⋮ Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders
Cites Work
- A best proximity point theorem for weakly contractive non-self-mappings
- On cyclic Meir-Keeler contractions in metric spaces
- Best proximity points: Global optimal approximate solutions
- Common best proximity points: Global optimal solutions
- Best proximity point theorems generalizing the contraction principle
- Best proximity point theorems
- Existence and convergence of best proximity points
- Existence and uniqueness of best proximity points in geodesic metric spaces
- Best proximity points: convergence and existence theorems for \(p\)-cyclic mappings
- Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces
- Convergence and existence results for best proximity points
- Proximal pointwise contraction
- Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces
- Best proximity pair theorems for multifunctions with open fibres
- Best proximity points for cyclic Meir-Keeler contractions
- Common best proximity points: global optimization of multi-objective functions
- Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
- Best proximity pairs and equilibrium pairs for Kakutani multimaps
- Best proximity pair theorems for relatively nonexpansive mappings
- Extensions of Banach's Contraction Principle
- A fixed point theorem in partially ordered sets and some applications to matrix equations
- Proximal normal structure and relatively nonexpansive mappings
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