| Autor: |
Shahram Rezapour, Maryam Iqbal, Afshan Batool, Sina Etemad, Thongchai Botmart |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
AIMS Mathematics, Vol 8, Iss 3, Pp 5980-5997 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.2023301?viewType=HTML |
| Popis: |
This paper reports a modified F-iterative process for finding the fixed points of three generalized α-nonexpansive mappings. We assume certain assumptions to establish the weak and strong convergence of the scheme in the context of a Banach space. We suggest a numerical example of generalized α-nonexpansive mappings which exceeds, properly, the category of functions furnished with a condition (C). After that, we show that our modified F-iterative scheme of this example converges to a common fixed point of three generalized α-nonexpansive mappings. As an application of our main findings, we suggest a new projection-type iterative scheme to solve variational inequality problems in the setting of generalized α-nonexpansive mappings. The main finding of the paper is new and extends many known results of the literature. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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