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- Title
Kannan Contraction Maps on the Space of Null Variable Exponent Second-Order Quantum Backward Difference Sequences of Fuzzy Functions and Its Pre-Quasi Ideal.
- Authors
Bakery, Awad A.; Mohamed, OM Kalthum S. K.
- Abstract
In this paper, we construct and investigate the space of null variable exponent second-order quantum backward difference sequences of fuzzy functions, which are crucial additions to the concept of modular spaces. The idealization of the mappings has been achieved through the use of extended s − fuzzy functions and this sequence space of fuzzy functions. This new space's topological and geometric properties and the mappings' ideal that corresponds to them are discussed. We construct the existence of a fixed point of Kannan contraction mapping acting on this space and its associated pre-quasi ideal. To demonstrate our findings, we give a number of numerical experiments. There are also some significant applications of the existence of solutions to nonlinear difference equations of fuzzy functions.
- Subjects
NONLINEAR difference equations; TOPOLOGICAL spaces; MEMBERSHIP functions (Fuzzy logic); EXPONENTS; SEQUENCE spaces; FUNCTION spaces
- Publication
Discrete Dynamics in Nature & Society, 2022, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2022/5339667