The Conjugate Gradient Viscosity Approximation Algorithm for Split Generalized Equilibrium and Variational Inequality Problems
In this paper, we study a kind of conjugate gradient viscosity approximation algorithm for finding a common solution of split generalized equilibrium problem and variational inequality problem. Under mild conditions, we prove that the sequence generated by the proposed iterative algorithm converges...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/8056276 |
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| _version_ | 1832558525338877952 |
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| author | Meixia Li Haitao Che Jingjing Tan |
| author_facet | Meixia Li Haitao Che Jingjing Tan |
| author_sort | Meixia Li |
| collection | DOAJ |
| description | In this paper, we study a kind of conjugate gradient viscosity approximation algorithm for finding a common solution of split generalized equilibrium problem and variational inequality problem. Under mild conditions, we prove that the sequence generated by the proposed iterative algorithm converges strongly to the common solution. The conclusion presented in this paper is the generalization, extension, and supplement of the previously known results in the corresponding references. Some numerical results are illustrated to show the feasibility and efficiency of the proposed algorithm. |
| format | Article |
| id | doaj-art-4fcf8b0623794add98384a7f63102241 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-4fcf8b0623794add98384a7f631022412025-02-03T01:32:05ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/80562768056276The Conjugate Gradient Viscosity Approximation Algorithm for Split Generalized Equilibrium and Variational Inequality ProblemsMeixia Li0Haitao Che1Jingjing Tan2School of Mathematics and Information Science, Weifang University, Weifang, Shandong 261061, ChinaSchool of Mathematics and Information Science, Weifang University, Weifang, Shandong 261061, ChinaSchool of Mathematics and Information Science, Weifang University, Weifang, Shandong 261061, ChinaIn this paper, we study a kind of conjugate gradient viscosity approximation algorithm for finding a common solution of split generalized equilibrium problem and variational inequality problem. Under mild conditions, we prove that the sequence generated by the proposed iterative algorithm converges strongly to the common solution. The conclusion presented in this paper is the generalization, extension, and supplement of the previously known results in the corresponding references. Some numerical results are illustrated to show the feasibility and efficiency of the proposed algorithm.http://dx.doi.org/10.1155/2018/8056276 |
| spellingShingle | Meixia Li Haitao Che Jingjing Tan The Conjugate Gradient Viscosity Approximation Algorithm for Split Generalized Equilibrium and Variational Inequality Problems Journal of Function Spaces |
| title | The Conjugate Gradient Viscosity Approximation Algorithm for Split Generalized Equilibrium and Variational Inequality Problems |
| title_full | The Conjugate Gradient Viscosity Approximation Algorithm for Split Generalized Equilibrium and Variational Inequality Problems |
| title_fullStr | The Conjugate Gradient Viscosity Approximation Algorithm for Split Generalized Equilibrium and Variational Inequality Problems |
| title_full_unstemmed | The Conjugate Gradient Viscosity Approximation Algorithm for Split Generalized Equilibrium and Variational Inequality Problems |
| title_short | The Conjugate Gradient Viscosity Approximation Algorithm for Split Generalized Equilibrium and Variational Inequality Problems |
| title_sort | conjugate gradient viscosity approximation algorithm for split generalized equilibrium and variational inequality problems |
| url | http://dx.doi.org/10.1155/2018/8056276 |
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