Fixed Point Approximation for a Class of Generalized Nonexpansive Mappings in Hadamard Spaces
In this paper, we establish strong and Δ convergence results for mappings satisfying condition Bγ,μ through a newly introduced iterative process called JA iteration process. A nonlinear Hadamard space is used the ground space for establishing our main results. A novel example is provided for the sup...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/6613225 |
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| _version_ | 1849307215708553216 |
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| author | Kifayat Ullah Junaid Ahmad Akbar Ali Khan Manuel de la Sen |
| author_facet | Kifayat Ullah Junaid Ahmad Akbar Ali Khan Manuel de la Sen |
| author_sort | Kifayat Ullah |
| collection | DOAJ |
| description | In this paper, we establish strong and Δ convergence results for mappings satisfying condition Bγ,μ through a newly introduced iterative process called JA iteration process. A nonlinear Hadamard space is used the ground space for establishing our main results. A novel example is provided for the support of our main results and claims. The presented results are the good extension of the corresponding results present in the literature. |
| format | Article |
| id | doaj-art-1cbc9253f4374ebfb1d88cc8a210b8f9 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-1cbc9253f4374ebfb1d88cc8a210b8f92025-08-20T03:54:51ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/66132256613225Fixed Point Approximation for a Class of Generalized Nonexpansive Mappings in Hadamard SpacesKifayat Ullah0Junaid Ahmad1Akbar Ali Khan2Manuel de la Sen3Department of Mathematics, University of Science and Technology, Bannu, 28100 Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, International Islamic University, H-10, Islamabad 44000, PakistanDepartment of Mathematics, University of Science and Technology, Bannu, 28100 Khyber Pakhtunkhwa, PakistanInstitute of Research and Development of Processes, University of the Basque Country, Campus of Leioa (Bizkaia) P.O. Box 644-Bilbao, Barrio Sarriena, 48940 Leioa, SpainIn this paper, we establish strong and Δ convergence results for mappings satisfying condition Bγ,μ through a newly introduced iterative process called JA iteration process. A nonlinear Hadamard space is used the ground space for establishing our main results. A novel example is provided for the support of our main results and claims. The presented results are the good extension of the corresponding results present in the literature.http://dx.doi.org/10.1155/2021/6613225 |
| spellingShingle | Kifayat Ullah Junaid Ahmad Akbar Ali Khan Manuel de la Sen Fixed Point Approximation for a Class of Generalized Nonexpansive Mappings in Hadamard Spaces Advances in Mathematical Physics |
| title | Fixed Point Approximation for a Class of Generalized Nonexpansive Mappings in Hadamard Spaces |
| title_full | Fixed Point Approximation for a Class of Generalized Nonexpansive Mappings in Hadamard Spaces |
| title_fullStr | Fixed Point Approximation for a Class of Generalized Nonexpansive Mappings in Hadamard Spaces |
| title_full_unstemmed | Fixed Point Approximation for a Class of Generalized Nonexpansive Mappings in Hadamard Spaces |
| title_short | Fixed Point Approximation for a Class of Generalized Nonexpansive Mappings in Hadamard Spaces |
| title_sort | fixed point approximation for a class of generalized nonexpansive mappings in hadamard spaces |
| url | http://dx.doi.org/10.1155/2021/6613225 |
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