# Multiplication mappings on a new stochastic space of a sequence of fuzzy functions

Volume 29, Issue 4, pp 306--316
Publication Date: November 03, 2022 Submission Date: July 23, 2022 Revision Date: August 29, 2022 Accteptance Date: August 31, 2022
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### 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

•  46B10
•  46C05
•  46E30

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