A Generalization of Caristi’s Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space
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 uppe...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/9919420 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561386900684800 |
|---|---|
| author | Awad A. Bakery M. H. El Dewaik |
| author_facet | Awad A. Bakery M. H. El Dewaik |
| author_sort | Awad A. Bakery |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-cc6f148ddfe14387a33f944571a381bb |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-cc6f148ddfe14387a33f944571a381bb2025-02-03T01:25:08ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/99194209919420A Generalization of Caristi’s Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series SpaceAwad A. Bakery0M. H. El Dewaik1University of Jeddah, College of Science and Arts at Khulis, Department of Mathematics, Jeddah, Saudi ArabiaDepartment of Basic Science, The British University in Egypt, El-Shorouk City, Cairo, EgyptSuppose 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.http://dx.doi.org/10.1155/2021/9919420 |
| spellingShingle | Awad A. Bakery M. H. El Dewaik A Generalization of Caristi’s Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space Journal of Function Spaces |
| title | A Generalization of Caristi’s Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space |
| title_full | A Generalization of Caristi’s Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space |
| title_fullStr | A Generalization of Caristi’s Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space |
| title_full_unstemmed | A Generalization of Caristi’s Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space |
| title_short | A Generalization of Caristi’s Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space |
| title_sort | generalization of caristi s fixed point theorem in the variable exponent weighted formal power series space |
| url | http://dx.doi.org/10.1155/2021/9919420 |
| work_keys_str_mv | AT awadabakery ageneralizationofcaristisfixedpointtheoreminthevariableexponentweightedformalpowerseriesspace AT mheldewaik ageneralizationofcaristisfixedpointtheoreminthevariableexponentweightedformalpowerseriesspace AT awadabakery generalizationofcaristisfixedpointtheoreminthevariableexponentweightedformalpowerseriesspace AT mheldewaik generalizationofcaristisfixedpointtheoreminthevariableexponentweightedformalpowerseriesspace |