篇名 | The modified e xtragradient method f or nonexpansive multivalued mappings and variational inequality problems |
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卷期 | 32:1 |
作者 | Watcharaporn Cholamjiak 、 Thatsawan Homhual 、 Bunyaporn Suebsombat |
頁次 | 077-090 |
關鍵字 | Extragradient method 、 Variational inequality 、 Nonexpansive multi-valued mapping 、 Iteration 、 Hilbert space |
出刊日期 | 201808 |
In this paper, we prove the strong convergence of an approximating common element of the set of fixed points of a nonexpansive multivalued mapping and the set of solutions of a variational inequality problem for a monotone, Lipschitz continuous mapping in a Hilbert space by using the modified extragradient method. As applications, we give the example and numerical results for supporting our main theorem.