Splitting type viscosity methods for inclusion and fixed point problems on Hadamard manifolds
In this article, we suggest and analyze the splitting type viscosity methods for inclusion and fixed point problem of a nonexpansive mapping in the setting of Hadamard manifolds. We derive the convergence of sequences generated by the proposed iterative methods under some suitable assumptions. Sever...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021309?viewType=HTML |
| _version_ | 1818610385657266176 |
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| author | Mohammad Dilshad Aysha Khan Mohammad Akram |
| author_facet | Mohammad Dilshad Aysha Khan Mohammad Akram |
| author_sort | Mohammad Dilshad |
| collection | DOAJ |
| description | In this article, we suggest and analyze the splitting type viscosity methods for inclusion and fixed point problem of a nonexpansive mapping in the setting of Hadamard manifolds. We derive the convergence of sequences generated by the proposed iterative methods under some suitable assumptions. Several special cases of the proposed iterative methods are also discussed. Finally, some applications to solve the variational inequality, optimization and fixed point problems are given on Hadamard manifolds. |
| first_indexed | 2024-12-16T15:13:36Z |
| format | Article |
| id | doaj.art-06f82acbefaf4c6bb3cae3c7ddf24fef |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-16T15:13:36Z |
| publishDate | 2021-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-06f82acbefaf4c6bb3cae3c7ddf24fef2022-12-21T22:26:53ZengAIMS PressAIMS Mathematics2473-69882021-03-01655205522110.3934/math.2021309Splitting type viscosity methods for inclusion and fixed point problems on Hadamard manifoldsMohammad Dilshad0Aysha Khan1Mohammad Akram21. Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk-71491, KSA2. Department of Mathematics, College of Arts and Science, Wadi-Ad-Dwasir, Prince Sattam bin Abdulaziz University, Al-Khraj, KSA3. Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah-170, KSAIn this article, we suggest and analyze the splitting type viscosity methods for inclusion and fixed point problem of a nonexpansive mapping in the setting of Hadamard manifolds. We derive the convergence of sequences generated by the proposed iterative methods under some suitable assumptions. Several special cases of the proposed iterative methods are also discussed. Finally, some applications to solve the variational inequality, optimization and fixed point problems are given on Hadamard manifolds.http://www.aimspress.com/article/doi/10.3934/math.2021309?viewType=HTMLsplitting type viscosity methodvariational inclusionfixed point problemnonexpansive mappingvariational inqualityhadamard manifold |
| spellingShingle | Mohammad Dilshad Aysha Khan Mohammad Akram Splitting type viscosity methods for inclusion and fixed point problems on Hadamard manifolds AIMS Mathematics splitting type viscosity method variational inclusion fixed point problem nonexpansive mapping variational inquality hadamard manifold |
| title | Splitting type viscosity methods for inclusion and fixed point problems on Hadamard manifolds |
| title_full | Splitting type viscosity methods for inclusion and fixed point problems on Hadamard manifolds |
| title_fullStr | Splitting type viscosity methods for inclusion and fixed point problems on Hadamard manifolds |
| title_full_unstemmed | Splitting type viscosity methods for inclusion and fixed point problems on Hadamard manifolds |
| title_short | Splitting type viscosity methods for inclusion and fixed point problems on Hadamard manifolds |
| title_sort | splitting type viscosity methods for inclusion and fixed point problems on hadamard manifolds |
| topic | splitting type viscosity method variational inclusion fixed point problem nonexpansive mapping variational inquality hadamard manifold |
| url | http://www.aimspress.com/article/doi/10.3934/math.2021309?viewType=HTML |
| work_keys_str_mv | AT mohammaddilshad splittingtypeviscositymethodsforinclusionandfixedpointproblemsonhadamardmanifolds AT ayshakhan splittingtypeviscositymethodsforinclusionandfixedpointproblemsonhadamardmanifolds AT mohammadakram splittingtypeviscositymethodsforinclusionandfixedpointproblemsonhadamardmanifolds |