BEST APPROXIMATION FOR CONVEX SUBSETS OF 2-INNER PRODUCT SPACES

M.  ABRISHASMI-MOGHADDAM; T.  SISTANI

BEST APPROXIMATION FOR CONVEX SUBSETS OF 2-INNER PRODUCT SPACES

Authors

M. ABRISHASMI-MOGHADDAM Department of Mathematics, Birjand Branch, Islamic Azad University, Birjand, Iran
T. SISTANI Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran

Keywords:

2-Inner product space, 2-Normed space, b-Best approximation, b-Proximinal, b-Chebyshev, b-Metric projection, b-Dual cone

Abstract

In this paper, we study the concept of best approximation in 2-inner product spaces. We get some characteristic theorems for the elements of best approximation for convex subsets of 2-inner product spaces. Finally we get some properties of the metric projection map in this spaces.