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https://scidar.kg.ac.rs/handle/123456789/14960
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DC Field | Value | Language |
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dc.rights.license | openAccess | - |
dc.contributor.author | Panja S. | - |
dc.contributor.author | ROY, KUSHAL | - |
dc.contributor.author | Paunović, Marija | - |
dc.contributor.author | Saha, Mantu | - |
dc.contributor.author | Parvaneh, Vahid | - |
dc.date.accessioned | 2022-09-13T11:38:06Z | - |
dc.date.available | 2022-09-13T11:38:06Z | - |
dc.date.issued | 2022 | - |
dc.identifier.issn | 1029-242X | - |
dc.identifier.uri | https://scidar.kg.ac.rs/handle/123456789/14960 | - |
dc.description.abstract | 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. | - |
dc.rights | info:eu-repo/semantics/openAccess | - |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | - |
dc.source | Journal of Inequalities and Applications | - |
dc.title | Fixed points of weakly K-nonexpansive mappings and a stability result for fixed point iterative process with an application | - |
dc.type | article | - |
dc.identifier.doi | 10.1186/s13660-022-02826-9 | - |
dc.identifier.scopus | 2-s2.0-85133498381 | - |
Appears in Collections: | Faculty of Hotel Management and Tourism, Vrnjačka Banja |
Files in This Item:
File | Description | Size | Format | |
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10.1186-s13660-022-02826-9.pdf | 1.62 MB | Adobe PDF | View/Open |
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