Kannan Prequasi Contraction Maps on Nakano Sequence Spaces

Author:

Bakery Awad A.12ORCID,Mohamed O. M. Kalthum S. K.13ORCID

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, P.O. Box 1156, Cairo, 11566 Abbassia, Egypt

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

Abstract

In this article, we explore the concept of the prequasi norm on Nakano special space of sequences (sss) such that its variable exponent in 0 , 1 . We evaluate the sufficient setting on it with the definite prequasi norm to configuration prequasi Banach and closed (sss). The Fatou property of different prequasi norms on this (sss) has been investigated. Moreover, the existence of a fixed point of Kannan prequasi norm contraction maps on the prequasi Banach (sss) and the prequasi Banach operator ideal constructed by this (sss) and s numbers have been examined.

Funder

University of Jeddah

Publisher

Hindawi Limited

Subject

Analysis

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4. Vector valued Orlicz-Lorentz sequence spaces and their operator ideals

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