COAPPROXIMATION IN PROBABILISTIC NORMED SPACES

A.  KHORASANI; M. ABRISHAMI  MOGHADDAM

COAPPROXIMATION IN PROBABILISTIC NORMED SPACES

Authors

A. KHORASANI Department of Mathematics, Birjand Branch, Islamic Azad University, Birjand, Iran
M. ABRISHAMI MOGHADDAM Department of Mathematics, Birjand Branch, Islamic Azad University, Birjand, Iran

Keywords:

Probabilistic 2-normed spaces, Pb-best coapproximation, Pb-coproximinal, Pb-coChebyshev

Abstract

In this article, we studied the best coapproximation in probabilistic 2-normed spaces. We defined the best coapproximation on these spaces and generalized some definitions such as set of best coapproximation, $P_b$-coproximinal set and $P_b$-coapproximately compact and orthogonality relative to any set and proved some theorems about them.