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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| Vydáno v: | Journal of function spaces Ročník 2018; číslo 2018; s. 1 - 14 |
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| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Cairo, Egypt
Hindawi Publishing Corporation
01.01.2018
Hindawi John Wiley & Sons, Inc Wiley |
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| ISSN: | 2314-8896, 2314-8888 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Audience | Academic |
| Author | Li, Meixia Tan, Jingjing Che, Haitao |
| Author_xml | – sequence: 1 fullname: Li, Meixia – sequence: 2 fullname: Tan, Jingjing – sequence: 3 fullname: Che, Haitao |
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| Cites_doi | 10.1007/s11464-012-0245-y 10.1088/0266-5611/26/5/055007 10.1023/A:1025407607560 10.1088/0266-5611/20/1/006 10.1016/j.na.2005.08.018 10.1080/01630563.2014.895755 10.1007/s10092-016-0177-0 10.1186/1029-242X-2012-66 10.1080/02331930412331327157 10.1186/1029-242X-2013-199 10.1155/2012/843486 10.1155/2017/9737062 10.1016/j.jmaa.2005.05.028 10.22436/jnsa.009.05.74 10.1007/s11117-013-0252-6 10.1007/BF02142692 10.1006/jmaa.1995.1289 10.1016/j.jmaa.2004.04.059 10.1080/01630563.2017.1369109 10.1007/s11424-012-9226-1 10.11650/twjm/1500407345 10.1155/FPTA.2005.103 10.1186/2251-7456-7-1 10.1007/s11464-009-0047-z 10.1016/j.amc.2011.05.066 10.1137/0314056 10.1016/j.amc.2015.04.056 10.1186/s13660-018-1641-y 10.1016/S0362-546X(97)00388-X 10.1016/j.amc.2016.06.007 |
| ContentType | Journal Article |
| Copyright | Copyright © 2018 Meixia Li et al. COPYRIGHT 2018 John Wiley & Sons, Inc. Copyright © 2018 Meixia Li et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0 |
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| SubjectTerms | Algorithms Approximation Banach spaces Conjugates Equality Equilibrium Feasibility studies Inverse problems Iterative algorithms Iterative methods Mathematical analysis Methods Numerical analysis Viscosity |
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| Title | The Conjugate Gradient Viscosity Approximation Algorithm for Split Generalized Equilibrium and Variational Inequality Problems |
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