Properties of The Space GFB(V, U)

Authors

  • Jehad R. Kider Department of Mathematics and Computer , Applications, School of Applied Sciences , University of Technology, Baghdad, Iraq.
  • Manar N. Gheeab Department of Mathematics and Computer , Applications, School of Applied Sciences , University of Technology, Baghdad, Iraq.

DOI:

https://doi.org/10.29304/jqcm.2019.11.1.478

Keywords:

The general fuzzy normed space GFB(V,U), General Fuzzy continuous operator, General Fuzzy bounded operator, General Fuzzy normed space.

Abstract

            Our goal in the present paper is to recall the concept of general fuzzy normed space and its basic properties to define the general fuzzy bounded operator as a background to introduce the notion general fuzzy norm of a general fuzzy bounded linear operator. After that we proved any operator from a general fuzzy normed space into a general complete general fuzzy normed space has an extension. Also we prove that a general fuzzy bounded operator on a general fuzzy normed space is equivalent to a general fuzzy continuous. Finally different types of fuzzy approaches of operators is introduced in order to prove that the general fuzzy normed space GFB(V,U) is general complete when U is general complete.

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Published

2019-01-28

How to Cite

R. Kider, J., & N. Gheeab, M. (2019). Properties of The Space GFB(V, U). Journal of Al-Qadisiyah for Computer Science and Mathematics, 11(1), Math Page 102 – 110. https://doi.org/10.29304/jqcm.2019.11.1.478

Issue

Vol. 11 No. 1 (2019): JQCM

Section

Math Articles