Inexact steepest descent algorithm for obtaining t-best approximation in a fuzzy normed space

Article type: Research Article

Authors: Ivaz, Karim^* | Beiranvand, Ali

Affiliations: Faculty of Mathematical science, University of Tabriz, Tabriz, Iran

Correspondence: [*] Corresponding author. Karim Ivaz, Faculty of Mathematical science, University of Tabriz, Tabriz, Iran. Tel.: +98 41 33392891; Fax: +98 41 33342102; E-mail: ivaz2003@yahoo.com.

Abstract: The main aim of this paper is to find t-best approximation in a fuzzy normed space via the optimization formulation. It is formulated as a constrained minimization problem which is solved by using penalty method. Each penalty is solved by using inexact steepest descent algorithm.

Keywords: t-best approximation, fuzzy normed space, steepest descent

DOI: 10.3233/IFS-151908

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 2999-3005, 2016