BEST APPROXIMATION AND BEST COAPPROXIMATION IN METRIC LINEAR SPACES

Authors

  • T. Narang Department of Mathematics, Guru Nanak Dev University, Amritsar 143005, India
  • S. Gupta Department of Mathematics, Guru Nanak Dev University, Amritsar-143005, India

Abstract

In this paper, we discuss best approximation and best coapproximation in metric linear spaces. We obtain some results on the characterizations, existence and uniqueness of elements of best approximation and best coapproximation in metric linear spaces. We also study single-valuedness and linearity of metric projection and metric coprojection maps.

Author Biographies

T. Narang, Department of Mathematics, Guru Nanak Dev University, Amritsar 143005, India

Emeritus Professor, Department of Mathematics

S. Gupta, Department of Mathematics, Guru Nanak Dev University, Amritsar-143005, India

Senior Research Fellow, Department of Mathematics

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Published

2016-12-23

How to Cite

Narang, T., & Gupta, S. (2016). BEST APPROXIMATION AND BEST COAPPROXIMATION IN METRIC LINEAR SPACES. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 7(1), 137-143. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/421

Issue

Section

Research Article