COAPPROXIMATION IN PROBABILISTIC NORMED SPACES

Authors

  • A. Khorasani Department of Mathematics, Birjand Branch, Islamic Azad University, Birjand, Iran
  • M. A. 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.

Additional Files

Published

05/08/2012

How to Cite

Khorasani, A. ., & Moghaddam, M. A. (2012). COAPPROXIMATION IN PROBABILISTIC NORMED SPACES. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 3(2), 121–127. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2663

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.