Bounded linear transformations in G-fuzzy normed linear space
Joint Authors
Ali, Mayadah Nizar Muhammad
Sabri, Raghad Ibrahim
Source
al-Qadisiyah Journal for Computer Science and Mathematics
Issue
Vol. 13, Issue 1 (31 Mar. 2021), pp.110-119, 10 p.
Publisher
University of al-Qadisiyah College of computer Science and Information Technology
Publication Date
2021-03-31
Country of Publication
Iraq
No. of Pages
10
Main Subjects
Abstract EN
In a host of mathematical applications, the bounded linear transformation arises.
The aim of the present work is to report the definition of continuous for linear transformation by using the idea of G-fuzzy normed linear space (GFNLS) with proving the main theorem regarding the continuity.
Besides, the notion of a bounded linear transformation depending on GFNLS is presented and some basic properties related to this notion are proved.
Furthermore, the extension of a bounded linear transformation is discussed and proved.
Finally, a characterization for the notion G-B(X,Y) which is consisting of all bounded linear transformations is presented and proved that this characterization is a complete GFNLS if the space Y is complete.
American Psychological Association (APA)
Ali, Mayadah Nizar Muhammad& Sabri, Raghad Ibrahim. 2021. Bounded linear transformations in G-fuzzy normed linear space. al-Qadisiyah Journal for Computer Science and Mathematics،Vol. 13, no. 1, pp.110-119.
https://search.emarefa.net/detail/BIM-1266348
Modern Language Association (MLA)
Ali, Mayadah Nizar Muhammad& Sabri, Raghad Ibrahim. Bounded linear transformations in G-fuzzy normed linear space. al-Qadisiyah Journal for Computer Science and Mathematics Vol. 13, no. 1 (2021), pp.110-119.
https://search.emarefa.net/detail/BIM-1266348
American Medical Association (AMA)
Ali, Mayadah Nizar Muhammad& Sabri, Raghad Ibrahim. Bounded linear transformations in G-fuzzy normed linear space. al-Qadisiyah Journal for Computer Science and Mathematics. 2021. Vol. 13, no. 1, pp.110-119.
https://search.emarefa.net/detail/BIM-1266348
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 119
Record ID
BIM-1266348