Best simultaneous approximation in locally convex 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.

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.

Best Simultaneous Approximation in Orlicz Spaces

t-BEST APPROXIMATION IN FUZZY NORMED SPACES

The main purpose of this paper is to find t-best approximations in fuzzy normed spaces. We introduce the notions of t-proximinal sets and F-approximations and prove some interesting theorems. In particular, we investigate the set of all t-best approximations to an element from a set.

Application of Fixed Point Theorem to Best Simultaneous Approximation in Convex Metric Spaces

We present existence of common fixed point results as best simultaneous approximation for uniformlyR-subweakly mappings on non-starshaped domains in convex spaces. This work provides extension as well as substantial improvement of some results in the existing literature. 2010 Mathematics Subject Classification: 41A50, 47H10, 54H25.