Ky Fan’s Best Approximation Theorem in Banach Space

Alok Asati; A.D.Singh; Madhuri Asati

doi:https://doi.org/10.14445/22315373/IJMTT-V11P508

International Journal of Mathematics Trends and Technology

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Volume 11 | Number 1 | Year 2014 | Article Id. IJMTT-V11P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V11P508

Ky Fan’s Best Approximation Theorem in Banach Space

Alok Asati, A.D.Singh, Madhuri Asati

Abstract

The aim of this paper is to prove a fixed point theorem for condensing mapping using a well-known result of Ky Fan in Banach space.

Keywords

Fixed point theorem, Condensing mapping, Ky Fan’s best Approximation theorem.

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Citation :

Alok Asati, A.D.Singh, Madhuri Asati, "Ky Fan’s Best Approximation Theorem in Banach Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 11, no. 1, pp. 64-66, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V11P508