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Author(s): T.D. Narang

Email(s): tdnarang1948@yahoo.co.in

Address: Department of Mathematics, Guru Nanak Dev University, Amritsar-143005 (India)

Published In:   Volume - 26,      Issue - 1,     Year - 2013

DOI: Not Available

ABSTRACT:
In 1969, Ky Fan [Math. Z. 112(1969), 234-240] proved that if M is a nonempty compact convex subset of a normed linear space Ethen for any continuous map f: M→ E, there exists a y0€ M such that 11 y0 - f(y0) 11 = Min { 11 x - f(y0) l I: x€M} This theorem has been extended by several mathematicians and applied in various fields. This paper also deals with some further generalizations of the result in metric linear spaces.

Cite this article:
Narang (2013). On Generalisations of Ky Fan's Theorem in Metric Linear Spaces. Journal of Ravishankar University (Part-B: Science), 26(1), pp. 35-39.


References not available.

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