Kannan prequasi contraction maps on Nakano sequence spaces
type: Item
instance of: scholarly article
title: Kannan prequasi contraction maps on Nakano sequence spaces
zbMATH Open document ID: 1491.47040
DOI: 10.1155/2020/8871563
author: A. A. Bakery
author: OM Kalthum S. K. Mohamed
published in: Journal of Function Spaces
publication date: 2021-08-25T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47B06
Mathematics Subject Classification ID: 47L20
Mathematics Subject Classification ID: 46A45
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 7385282
zbMATH Keywords: prequasi norm
zbMATH Keywords: Fatou property
zbMATH Keywords: prequasi norm contraction
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/8871563
OpenAlex ID: W3117646244
cites work: Small ideals of operators
cites work: Mappings of type Orlicz and generalized Cesáro sequence space
cites work: Q3873048
cites work: Q4129986
cites work: Vector valued Orlicz-Lorentz sequence spaces and their operator ideals
cites work: Some classes of ideal convergent sequences and generalized difference matrix operator
cites work: Small operator ideals formed by \(s\) numbers on generalized Cesàro and Orlicz sequence spaces
cites work: Pre-quasi simple Banach operator ideal generated by \(s\)-numbers
cites work: Q4716146
cites work: Q4937960
cites work: Some fixed point generalizations are not real generalizations
cites work: Be careful on partial metric fixed point results
cites work: Some Results on Fixed Points--II
cites work: Spaces of compact operators
cites work: Q4239570
cites work: Some properties of pre-quasi operator ideal of type generalized Cesáro sequence space defined by weighted means
cites work: Generalization of the sequence space \(\ell (p)\) derived by weighted mean
cites work: Modified \(\alpha\)-\(\psi\)-contractive mappings with applications
cites work: Fixed point theorems in ordered Banach spaces and applications to nonlinear integral equations
cites work: Q3066880
description: scientific article; zbMATH DE number 7385282