PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 52(66), pp. 7785 (1992) 

On best simultaneous approximationS.V.R. NaiduDepartment of Applied Mathematics, A.U.P.G. Centre Nuzvid 521201, IndiaAbstract: For nonempty subsets $F$ and $K$ of a nonempty set $V$ and a real valued function $f$ on $X\times X$ the notion of $f$best simultaneous approximation to $F$ from $K$ is introduced as an extension of the known notion of best simultaneous approximation in normed linear spaces. The concept of uniformly quasiconvex function on a vector space is also introduced. Sufficient conditions for the existence and uniqueness of $f$best simultaneous approximation are obtained. Classification (MSC2000): 41A28, 41A50, 41A52; 54H99, 46A99 Full text of the article:
Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.
© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
