2014•Indian Journal of Science and TechnologyOpen access

f-Best Coapproximation in Quotient Topological Vector Spaces

Majid Abrishami-Moghaddam

Abstract

In this paper we give new results on the best coapproximation in the Hausdorff topological vector space X. Assume that f be a real valued function on X and we present some results regarding f-best coapproximation. We determine under what conditions f-coproximinality can be transmitted to the quotient spaces and conversely. 2010 Mathematics Subject Classification: 41A52, 57N17. Keywords: f-best Coapproximation, f-coChebyshev, f-compact, f-quasi-coChebychev

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Key concepts: Hausdorff space, Quotient, Mathematics, Topological vector space, Function space, Quotient space (topology), Vector space, Topological space