Multiplication mappings on a new stochastic space of a sequence of fuzzy functions
Volume 29, Issue 4, pp 306--316
https://doi.org/10.22436/jmcs.029.04.01
Publication Date: November 03, 2022
Submission Date: July 23, 2022
Revision Date: August 29, 2022
Accteptance Date: August 31, 2022
Authors
M. M. Alsolmi
- Department of Mathematics, College of Science and Arts at Khulis, University of Jeddah, Jeddah, Saudi Arabia.
A. A. Bakery
- Department of Mathematics, College of Science and Arts at Khulis, University of Jeddah, Jeddah, Saudi Arabia.
- Department of Mathematics, Faculty of Science, Ain Shams University, P.O. Box 1156, Cairo, 11566, Abbassia, Egypt.
Abstract
A number of topological and geometrical properties of the weighted Gamma matrix of order \(r\) in Nakano sequence space for fuzzy functions equipped with definite pre-modular functions are defined and investigated in this paper. We begin by defining the necessary conditions for the formation of pre-modular Banach in this space. Second, we specify the conditions under which the multiplication operator defined on this pre-modular space is bounded, approximable, invertible, Fredholm, and closed on the basis of this space.
Share and Cite
ISRP Style
M. M. Alsolmi, A. A. Bakery, Multiplication mappings on a new stochastic space of a sequence of fuzzy functions, Journal of Mathematics and Computer Science, 29 (2023), no. 4, 306--316
AMA Style
Alsolmi M. M., Bakery A. A., Multiplication mappings on a new stochastic space of a sequence of fuzzy functions. J Math Comput SCI-JM. (2023); 29(4):306--316
Chicago/Turabian Style
Alsolmi, M. M., Bakery, A. A.. "Multiplication mappings on a new stochastic space of a sequence of fuzzy functions." Journal of Mathematics and Computer Science, 29, no. 4 (2023): 306--316
Keywords
- Gamma matrix
- Nakano sequence space
- Fredholm mapping
- multiplication mapping
- approximable mapping
MSC
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