EXISTENCE RESULTS ON BEST PROXIMITY PAIR IN METRIZABLE TOPOLOGICAL VECTOR SPACES

Hemant Kumar Nashine

Abstract


In this paper, an existence result on best proximity pair is proved. For this purpose, a closed convex upper semi-continuous multifunctions and the other one being a demicontinuous, relative almost quasi-convex, onto function on an approximately weakly compact, convex subset of metrizable topological vector space are used. This result generalizes the result of Basha and Veeramani [10]. Finally, certain known results have also been obtained as corollaries in this work.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)