Generalized Enriched Nonexpansive Mappings and Their Fixed Point Theorems

Rahul Shukla, Rekha Panicker and Paul Eloe

Abstract and Applied Analysis, 2023, vol. 2023, 1-10

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.

Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/aaa/2023/5572893.pdf (application/pdf)
http://downloads.hindawi.com/journals/aaa/2023/5572893.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:5572893

DOI: 10.1155/2023/5572893

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().