An Inertial Iterative Algorithm to Find Common Solution of a Split Generalized Equilibrium and a Variational Inequality Problem in Hilbert Spaces
In this paper, we introduce and study an iterative algorithm via inertial and viscosity techniques to find a common solution of a split generalized equilibrium and a variational inequality problem in Hilbert spaces. Further, we prove that the sequence generated by the proposed theorem converges stro...
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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: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/3653807 |
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| _version_ | 1832556358507954176 |
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| author | Mohammad Farid Rehan Ali Watcharaporn Cholamjiak |
| author_facet | Mohammad Farid Rehan Ali Watcharaporn Cholamjiak |
| author_sort | Mohammad Farid |
| collection | DOAJ |
| description | In this paper, we introduce and study an iterative algorithm via inertial and viscosity techniques to find a common solution of a split generalized equilibrium and a variational inequality problem in Hilbert spaces. Further, we prove that the sequence generated by the proposed theorem converges strongly to the common solution of our problem. Furthermore, we list some consequences of our established algorithm. Finally, we construct a numerical example to demonstrate the applicability of the theorem. We emphasize that the result accounted in the manuscript unifies and extends various results in this field of study. |
| format | Article |
| id | doaj-art-c4b2b88711a440bcad09718c2158ce2d |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c4b2b88711a440bcad09718c2158ce2d2025-02-03T05:45:37ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/3653807An Inertial Iterative Algorithm to Find Common Solution of a Split Generalized Equilibrium and a Variational Inequality Problem in Hilbert SpacesMohammad Farid0Rehan Ali1Watcharaporn Cholamjiak2Department of MathematicsDepartment of MathematicsSchool of ScienceIn this paper, we introduce and study an iterative algorithm via inertial and viscosity techniques to find a common solution of a split generalized equilibrium and a variational inequality problem in Hilbert spaces. Further, we prove that the sequence generated by the proposed theorem converges strongly to the common solution of our problem. Furthermore, we list some consequences of our established algorithm. Finally, we construct a numerical example to demonstrate the applicability of the theorem. We emphasize that the result accounted in the manuscript unifies and extends various results in this field of study.http://dx.doi.org/10.1155/2021/3653807 |
| spellingShingle | Mohammad Farid Rehan Ali Watcharaporn Cholamjiak An Inertial Iterative Algorithm to Find Common Solution of a Split Generalized Equilibrium and a Variational Inequality Problem in Hilbert Spaces Journal of Mathematics |
| title | An Inertial Iterative Algorithm to Find Common Solution of a Split Generalized Equilibrium and a Variational Inequality Problem in Hilbert Spaces |
| title_full | An Inertial Iterative Algorithm to Find Common Solution of a Split Generalized Equilibrium and a Variational Inequality Problem in Hilbert Spaces |
| title_fullStr | An Inertial Iterative Algorithm to Find Common Solution of a Split Generalized Equilibrium and a Variational Inequality Problem in Hilbert Spaces |
| title_full_unstemmed | An Inertial Iterative Algorithm to Find Common Solution of a Split Generalized Equilibrium and a Variational Inequality Problem in Hilbert Spaces |
| title_short | An Inertial Iterative Algorithm to Find Common Solution of a Split Generalized Equilibrium and a Variational Inequality Problem in Hilbert Spaces |
| title_sort | inertial iterative algorithm to find common solution of a split generalized equilibrium and a variational inequality problem in hilbert spaces |
| url | http://dx.doi.org/10.1155/2021/3653807 |
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