Some Fixed Point Results in Premodular Special Space of Sequences and Their Associated Pre-Quasi-Operator Ideal. (23rd December 2021)

• Record Type: Journal Article
• Authors: Bakery, Awad A.; Mohamed, Elsayed A. E.; Mohamed, O. M. Kalthum S. K.
• Other Names: Tomar Anita Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-12-23
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/4995428
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : A weighted Nakano sequence space and the s -numbers it contains are the subject of this article, which explains the concept of the pre-quasi-norm and its operator ideal. We show that both Kannan contraction and nonexpansive mappings acting on these spaces have a fixed point. A slew of numerical experiments back up our findings. The presence of summable equations' solutions is shown to be useful in a number of ways. Weight and power of the weighted Nakano sequence space are used to define the parameters for this technique, resulting in customizable solutions.