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https://scidar.kg.ac.rs/handle/123456789/14960
Назив: | Fixed points of weakly K-nonexpansive mappings and a stability result for fixed point iterative process with an application |
Аутори: | Panja S. ROY, KUSHAL Paunović, Marija Saha, Mantu Parvaneh, Vahid |
Датум издавања: | 2022 |
Сажетак: | In this article, we introduce a new type of non-expansive mapping, namely weakly K-nonexpansive mapping, which is weaker than non-expansiveness and stronger than quasi-nonexpansiveness. We prove some weak and strong convergence results using weakly K-nonexpansive mappings. Also, we define weakly (α, K) -nonexpansive mapping and using it prove one stability result for JF-iterative process. Some prominent examples are presented illustrating the facts. A numerical example is given to compare the convergence behavior of some known iterative algorithms for weakly K-nonexpansive mappings. Moreover, we show by example that the class of α-nonexpansive mappings due to Aoyama and Kohsaka and the class of generalized α-nonexpansive mappings due to Pant and Shukla are independent. Finally, our fixed point theorem is applied to obtain a solution of a nonlinear fractional differential equation. |
URI: | https://scidar.kg.ac.rs/handle/123456789/14960 |
Тип: | article |
DOI: | 10.1186/s13660-022-02826-9 |
ISSN: | 1029-242X |
SCOPUS: | 2-s2.0-85133498381 |
Налази се у колекцијама: | Faculty of Hotel Management and Tourism, Vrnjačka Banja |
Датотеке у овој ставци:
Датотека | Опис | Величина | Формат | |
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10.1186-s13660-022-02826-9.pdf | 1.62 MB | Adobe PDF | Погледајте |
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