Best Approximations Theorem for a Couple in Cone Banach Space
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Abstract
The notion of coupled fixed point is introduced by Bhaskar and Lakshmikantham, (2006). In this manuscript, some result of Mitrovic, (2010) extended to the class of cone Banach spaces.
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KARAPINAR, ERDAL/0000-0002-6798-3254
ORCID
Keywords
[No Keyword Available], T57-57.97, QA299.6-433, Applied mathematics. Quantitative methods, Applied Mathematics, Geometry and Topology, Analysis, Normed linear spaces and Banach spaces; Banach lattices, cone Banach spaces, Fixed-point and coincidence theorems (topological aspects), best approximation theorem, coupled fixed points, Fixed-point theorems, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Other ``topological'' linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than \(\mathbb{R}\), etc.)
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0101 mathematics, 01 natural sciences
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8
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2010
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CrossRef : 7
Scopus : 21
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17
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