拟非扩张映像族的平行混杂算法及其数值实验  

A Parallel Hybrid Algorithm and its Numerical Realizations for a Family of Quasi-nonexpansive Mappings

作　　者：高兴慧[1] 王晶 刘思璇 许怡 刘婷 宋欣欣 GAO Xing-hui;WANG JING;LIU Si-xuan;XU YI;LIU TING;SONG Xin-xin(College of Mathematics and Computer Science,Yan＇an University,Yan＇an 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：《延安大学学报（自然科学版）》2018年第3期7-9,共3页Journal of Yan'an University：Natural Science Edition

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);2016年国家级大学生创新训练计划项目(201610719002)

摘　　要：在Hilbert空间中设计出一种新的关于有限族拟非扩张映像的公共不动点的平行混杂算法,并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族的公共不动点,且给出数值实验说明所提出算法的有效性。In Hilbert spaces, a new parallel hybrid algorithm for common fixed points of a finite family of quasi - nonexpansive mappings is proposed. A strong convergence theorem for the common fixed points of a finite family of quasi - nonexpansive mappings is proved by using projection operators and other analysis techniques. Some numeri- cal experiments are also included to explain the eft）ctiveness of the proposed algorithm.

关 键 词：有限族拟非扩张映像 投影算子 平行混杂算法 数值实验 

分 类 号：O177.91[理学—数学]