Strong Convergence Theorems for Hybrid Mixed Type Nonlinear Mappings in Banach Spaces
In this paper, we introduce a new two-step iteration scheme of hybrid mixed type for two asymptotically nonexpansive self mappings and two asymptotically nonexpansive non-self mappings in the intermediate sense and establish some strong convergence theorems for mentioned scheme and mappings in Banac...
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| Format: | Article |
| Language: | English |
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Sciendo
2018-07-01
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| Series: | Annals of the West University of Timisoara: Mathematics and Computer Science |
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| Online Access: | https://doi.org/10.2478/awutm-2018-0009 |
| _version_ | 1811289669245075456 |
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| author | Saluja Gurucharan Singh |
| author_facet | Saluja Gurucharan Singh |
| author_sort | Saluja Gurucharan Singh |
| collection | DOAJ |
| description | In this paper, we introduce a new two-step iteration scheme of hybrid mixed type for two asymptotically nonexpansive self mappings and two asymptotically nonexpansive non-self mappings in the intermediate sense and establish some strong convergence theorems for mentioned scheme and mappings in Banach spaces. Our results extend and generalize the corresponding results recently announced by Wei and Guo [16] (Comm. Math. Res. 31(2015), 149-160) and many others. |
| first_indexed | 2024-04-13T03:58:30Z |
| format | Article |
| id | doaj.art-2cc5d26dc15f4d58bd8e33ab6ccf9180 |
| institution | Directory Open Access Journal |
| issn | 1841-3307 |
| language | English |
| last_indexed | 2024-04-13T03:58:30Z |
| publishDate | 2018-07-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annals of the West University of Timisoara: Mathematics and Computer Science |
| spelling | doaj.art-2cc5d26dc15f4d58bd8e33ab6ccf91802022-12-22T03:03:32ZengSciendoAnnals of the West University of Timisoara: Mathematics and Computer Science1841-33072018-07-0156113614810.2478/awutm-2018-0009awutm-2018-0009Strong Convergence Theorems for Hybrid Mixed Type Nonlinear Mappings in Banach SpacesSaluja Gurucharan Singh0Department of Mathematics, Govt. N. P. G., College of Science, Raipur, IndiaIn this paper, we introduce a new two-step iteration scheme of hybrid mixed type for two asymptotically nonexpansive self mappings and two asymptotically nonexpansive non-self mappings in the intermediate sense and establish some strong convergence theorems for mentioned scheme and mappings in Banach spaces. Our results extend and generalize the corresponding results recently announced by Wei and Guo [16] (Comm. Math. Res. 31(2015), 149-160) and many others.https://doi.org/10.2478/awutm-2018-0009asymptotically nonexpansive mappingnon-self asymptotically nonexpansive mappings in the intermediate sensenew two-step iteration scheme of hybrid mixed typecommon fixed pointbanach spacestrong convergence |
| spellingShingle | Saluja Gurucharan Singh Strong Convergence Theorems for Hybrid Mixed Type Nonlinear Mappings in Banach Spaces Annals of the West University of Timisoara: Mathematics and Computer Science asymptotically nonexpansive mapping non-self asymptotically nonexpansive mappings in the intermediate sense new two-step iteration scheme of hybrid mixed type common fixed point banach space strong convergence |
| title | Strong Convergence Theorems for Hybrid Mixed Type Nonlinear Mappings in Banach Spaces |
| title_full | Strong Convergence Theorems for Hybrid Mixed Type Nonlinear Mappings in Banach Spaces |
| title_fullStr | Strong Convergence Theorems for Hybrid Mixed Type Nonlinear Mappings in Banach Spaces |
| title_full_unstemmed | Strong Convergence Theorems for Hybrid Mixed Type Nonlinear Mappings in Banach Spaces |
| title_short | Strong Convergence Theorems for Hybrid Mixed Type Nonlinear Mappings in Banach Spaces |
| title_sort | strong convergence theorems for hybrid mixed type nonlinear mappings in banach spaces |
| topic | asymptotically nonexpansive mapping non-self asymptotically nonexpansive mappings in the intermediate sense new two-step iteration scheme of hybrid mixed type common fixed point banach space strong convergence |
| url | https://doi.org/10.2478/awutm-2018-0009 |
| work_keys_str_mv | AT salujagurucharansingh strongconvergencetheoremsforhybridmixedtypenonlinearmappingsinbanachspaces |