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Generalized Enriched Nonexpansive Mappings and Their Fixed Point Theorems.
- Source :
-
Abstract & Applied Analysis . 12/2/2023, p1-10. 10p. - Publication Year :
- 2023
-
Abstract
- This paper introduces a novel category of nonlinear mappings and provides several theorems on their existence and convergence in Banach spaces, subject to various assumptions. Moreover, we obtain convergence theorems concerning iterates of α -Krasnosel'skiĭ mapping associated with the newly defined class of mappings. Further, we present that α -Krasnosel'skiĭ mapping associated with b -enriched quasinonexpansive mapping is asymptotically regular. Furthermore, some new convergence theorems concerning b -enriched quasinonexpansive mappings have been proved. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NONEXPANSIVE mappings
*BANACH spaces
*EXISTENCE theorems
Subjects
Details
- Language :
- English
- ISSN :
- 10853375
- Database :
- Academic Search Index
- Journal :
- Abstract & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 174374696
- Full Text :
- https://doi.org/10.1155/2023/5572893