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逼近极值强伪压缩映象唯一公共不动点的带误差迭代序列(英文)

Iterative Procedures with Errors Approximating the Common Fixed Point of Set-Valued Strongly Pseudo-Contractive Mappings

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【Author】 LI Jun1,DING Ke2,LIANG Zhengang2(1.Department of Mathematics, Sichuan Teachers College, Nanchong,637002, China;2. School of Mathematics, Sichuan University, Chengdu,610064, China)

【机构】四川师范学院数学系；四川大学数学学院四川南充637002；四川南充637002；四川成都610064；

【摘要】在实一致光滑Banach空间中引入了一类新的逼近三个极值强伪压缩映象唯一公共不动点的带误差迭代序列,以及通过Petryshyn不等式讨论了该带误差迭代序列的收敛性.更多还原

【Abstract】 In this paper, we have introduced a new iterative procedure with errors approximating the unique common fixed point for three setvalued strongly pseudocontractive mappings and showed the convergence of the iterative sequence with errors by using Petryshyn’s inequality in real uniformly smooth Banach spaces.更多还原

【关键词】强增生映象；强伪压缩映象；带误差迭代序列；公共不动点；极值映象.；
【Key words】 strongly accretive mapping； strongly pseudo-contractive mapping； iteration with errors； common fixed point； set-valued mapping；

【文献出处】四川师范学院学报(自然科学版) ,Journal of Sichuan Teachers College(Natural Science) , 编辑部邮箱 ,2002年04期

【分类号】O177.91
【下载频次】10

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