A RESULT ON BEST APPROXIMATION

A Result in Best Approximation Theory for Family of Maps

Refer ences Al-Thagafi, M. A. , Common fixed points and best approximation, J. Approx Theory, 85, (1996), 318–323. Al-Thagafi, M. A. and Shahzad, N. , Noncommuting selfmaps and invariant approximations, Nonlinear Anal. , 64, (2006), 2778–2786. Al-Thagafi, M. A. and Shahzad, N. , Generalized I-nonexpansive selfmaps and invariant approximations, Acta Math Sinica, 24, (2008), 867–876. Beg, I. , Sh...

Best Approximation in TVS

In this paper  we give newresults on the best approximation  in the Hausdorff topological vectorspace and  consider relationship  with orthogonality. Also we determined under  what conditions the map $P_{K,f}$ is upper semicontinous.

Fuzzy Best Simultaneous Approximation of a Finite Numbers of Functions

Fuzzy best simultaneous approximation of a finite number of functions is considered. For this purpose, a fuzzy norm on $Cleft (X, Y right )$ and its fuzzy dual space and also the  set of subgradients of a fuzzy norm are introduced. Necessary case of a proved theorem about characterization of simultaneous approximation will be extended to the fuzzy case.

Some Results on p-Best Approximation in Vector Spaces

BEST SIMULTANEOUS APPROXIMATION IN FUZZY NORMED SPACES

The main purpose of this paper is to consider the t-best simultaneousapproximation in fuzzy normed spaces. We develop the theory of t-bestsimultaneous approximation in quotient spaces. Then, we discuss the relationshipin t-proximinality and t-Chebyshevity of a given space and its quotientspace.