Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders
DOI10.4995/agt.2016.5180zbMath1350.54032OpenAlexW2529051215WikidataQ59306848 ScholiaQ59306848MaRDI QIDQ2825450
Publication date: 13 October 2016
Published in: Applied General Topology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4995/agt.2016.5180
common best proximity pointglobal optimal approximate solution\(\alpha\)-ordered contractions\(\alpha\)-ordered proximal contraction\(\alpha\)-ordered proximal cyclic contractionproximally increasing mappings
Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed-point theorems on manifolds (58C30)
Cites Work
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- Optimal approximate solutions of fixed point equations
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- Common best proximity points: global minimization of multi-objective functions
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- Common best proximity points: global optimization of multi-objective functions
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- Best Proximity Points for Cyclical Contractive Mappings
- Extensions of Banach's Contraction Principle
- Global optimization in metric spaces with partial orders
- Proximal normal structure and relatively nonexpansive mappings
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