Fixed Point Property of Variable Exponent Cesàro Complex Function Space of Formal Power Series under Premodular
We have defined the variable exponent of the Cesàro complex function space of formal power series. We have constructed the prequasi-ideal generated by s-numbers and this new space of complex functions. We present some topological and geometric structures of this class of ideal. The existence of Cari...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/3811326 |
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| _version_ | 1832564935075299328 |
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| author | Awad A. Bakery Elsayed A. E. Mohamed |
| author_facet | Awad A. Bakery Elsayed A. E. Mohamed |
| author_sort | Awad A. Bakery |
| collection | DOAJ |
| description | We have defined the variable exponent of the Cesàro complex function space of formal power series. We have constructed the prequasi-ideal generated by s-numbers and this new space of complex functions. We present some topological and geometric structures of this class of ideal. The existence of Caristi’s fixed point is examined. Some geometric properties related to the fixed point theory are presented. Finally, real-world examples and applications show solutions to some nonlinear difference equations. |
| format | Article |
| id | doaj-art-0fa4eaca312a439396a1e4c0b6e30fdb |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-0fa4eaca312a439396a1e4c0b6e30fdb2025-02-03T01:09:51ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/3811326Fixed Point Property of Variable Exponent Cesàro Complex Function Space of Formal Power Series under PremodularAwad A. Bakery0Elsayed A. E. Mohamed1University of JeddahUniversity of JeddahWe have defined the variable exponent of the Cesàro complex function space of formal power series. We have constructed the prequasi-ideal generated by s-numbers and this new space of complex functions. We present some topological and geometric structures of this class of ideal. The existence of Caristi’s fixed point is examined. Some geometric properties related to the fixed point theory are presented. Finally, real-world examples and applications show solutions to some nonlinear difference equations.http://dx.doi.org/10.1155/2022/3811326 |
| spellingShingle | Awad A. Bakery Elsayed A. E. Mohamed Fixed Point Property of Variable Exponent Cesàro Complex Function Space of Formal Power Series under Premodular Journal of Function Spaces |
| title | Fixed Point Property of Variable Exponent Cesàro Complex Function Space of Formal Power Series under Premodular |
| title_full | Fixed Point Property of Variable Exponent Cesàro Complex Function Space of Formal Power Series under Premodular |
| title_fullStr | Fixed Point Property of Variable Exponent Cesàro Complex Function Space of Formal Power Series under Premodular |
| title_full_unstemmed | Fixed Point Property of Variable Exponent Cesàro Complex Function Space of Formal Power Series under Premodular |
| title_short | Fixed Point Property of Variable Exponent Cesàro Complex Function Space of Formal Power Series under Premodular |
| title_sort | fixed point property of variable exponent cesaro complex function space of formal power series under premodular |
| url | http://dx.doi.org/10.1155/2022/3811326 |
| work_keys_str_mv | AT awadabakery fixedpointpropertyofvariableexponentcesarocomplexfunctionspaceofformalpowerseriesunderpremodular AT elsayedaemohamed fixedpointpropertyofvariableexponentcesarocomplexfunctionspaceofformalpowerseriesunderpremodular |