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.

Additional Files

Published

09/30/2012

How to Cite

Abrishasmi-moghaddam, M. ., & Sistani, T. . (2012). BEST APPROXIMATION FOR CONVEX SUBSETS OF 2-INNER PRODUCT SPACES. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 3(2), 269–278. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2677

Issue

Vol. 3 No. 2 (2012): JNAO

Section

Research Articles

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Creative Commons License

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.