拟非扩张映像和伪单调平衡问题的平行混杂超梯度算法  

Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and quasi-nonexpansive mappings

作　　者：高兴慧[1] 乔也秦 杜泽瑜 郝娜 贺盼盼 豆玉杰 GAO Xinghui;QIAO Yeqin;DU Zeyu;HAO Na;HE Panpan;DOU Yujie(College of Mathematics and Computer Science,Yan＇ an University,Yan＇ an,Shaanxi 716000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《贵州师范大学学报（自然科学版）》2018年第5期95-98,共4页Journal of Guizhou Normal University：Natural Sciences

基　　金：国家自然科学基金资助项目(61751217);陕西省自然科学基础研究计划资助项目(2016JM6082);延安大学校级科研计划项目(YD2016-12);2017年校级大学生创新训练计划项目(D2017024)

摘　　要：在实的Hilbert空间中首先给出一种平行混杂超梯度算法,其次利用投影算子的性质等证明了该算法所生成的序列强收敛于拟非扩张映像的不动点集和伪单调平衡问题的解集的公共元素,所得结论改进了最新文献的相关成果。In real Hilbert spaces, a new parallel hybrid extragradient method is proposed to approximate common elements for the set of fixed points of quasi-nonexpansive mappings and the set of solutions of equilibrium problems involving pseudomonotone bifunctions. A strong convergence theorem of the common elements is proved by using projection operators and other analysis techniques. The results of this paper improve and extend recent some relative results.

关 键 词：拟非扩张映像 平衡问题 平行混杂算法 超梯度法 

分 类 号：O177.91[理学—数学]