Nonexpansive Mappings on New Premodular Special Space of Sequences

Author:

Bakery Awad A.12ORCID,S. K. Mohamed OM Kalthum13ORCID

Affiliation:

1. University of Jeddah, College of Science and Arts at Khulis, Department of Mathematics, Jeddah, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Abbassia, Egypt

3. Academy of Engineering and Medical Sciences, Department of Mathematics, Khartoum, Sudan

Abstract

For different premodular, which is a generalization of modular, defined by weighted Orlicz sequence space and its prequasi operator ideal, we have examined the existence of a fixed point for both Kannan contraction and nonexpansive mappings acting on these spaces. Some numerous numerical experiments and practical applications are presented to support our results.

Funder

University of Jeddah

Publisher

Hindawi Limited

Subject

General Mathematics

Reference29 articles.

1. (LM);W. Orlicz;Bulletin International de l'Academie des Sciences de Cracovie,1936

2. On orlicz sequence spaces

3. Classical Banach spaces;J. Lindenstrauss,1977

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