A Generalization of Caristi's Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space
Bakery, Awad A.; El Dewaik, M. H.;
Abstract
Suppose pn be sequence of positive reals. By Hwpn, we represent the space of all formal power series ∑n=0∞anzn equipped with ∑n=0∞λan/n+1pn<∞, for some λ>0. Various topological and geometric behavior of Hwpn and the prequasi ideal constructs by s-numbers and Hwpn have been considered. The upper bounds for s-numbers of infinite series of the weighted n-th power forward shift operator on Hwpn with applications to some entire functions are granted. Moreover, we investigate an extrapolation of Caristi's fixed point theorem in Hwpn.
Other data
Title | A Generalization of Caristi's Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space | Authors | Bakery, Awad A. ; El Dewaik, M. H. | Issue Date | 1-Jan-2021 | Journal | Journal of Function Spaces | ISSN | 23148896 | DOI | 10.1155/2021/9919420 | Scopus ID | 2-s2.0-85108501470 |
Attached Files
File | Description | Size | Format | Existing users please Login |
---|---|---|---|---|
18-prof.pdf | 797.25 kB | Adobe PDF | Request a copy |
Similar Items from Core Recommender Database
Items in Ain Shams Scholar are protected by copyright, with all rights reserved, unless otherwise indicated.