[1]杨永琴,等.Banach空间中一类g-η-增生映象包含组的Ishikawa迭代算法(英文)[J].南京师大学报(自然科学版),2009,32(02):1-5.
　Yang Yongqin,Li Jianping,Zhang Hong.Ishikawa Iterative Algorithm for a System of g-η-Accretive Mapping Inclusions in Banach Spaces[J].Journal of Nanjing Normal University(Natural Science Edition),2009,32(02):1-5.
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Banach空间中一类g-η-增生映象包含组的Ishikawa迭代算法(英文)()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第32卷
期数:
2009年02期
页码:
1-5
栏目:
数学
出版日期:
2009-06-30

文章信息/Info

Title:
Ishikawa Iterative Algorithm for a System of g-η-Accretive Mapping Inclusions in Banach Spaces
作者:
杨永琴1;  2;  李建平1;  张弘2
1. 后勤工程学院, 重庆400016
2. 重庆交通大学理学院, 重庆400074
Author(s):
Yang Yongqin1; 2; Li Jianping1; Zhang Hong2
1.Logistical Engineering University,Chongqing 400016,China
关键词:
Ish ikaw a迭代算法;  g-η-增生映象包含组;  松驰余制映象;  预解算子技巧;  存在性;  收敛性
Keywords:
Ish ikaw a iterative a lgo rithm;  system of g-- acc retivem app ing inclusions;  ralaxed cocoerc ive m apping;  resolvent operator techn ique;  ex istence;  conv ergence
分类号:
O177.91
摘要:
在Banach空间中引入和研究了一类含g-η-增生映象的变分包含,利用与g-η-增生映象相联系的预解算子技巧,证明了这类g-η-增生映象包含解的存在性和惟一性.对这类g-η-增生映象包含的逼近解我们也构造了一个新的Ish ikawa迭代算法,并讨论了由此算法生成的迭代序列的收敛性.
Abstract:
In th is pape r, w e introduce and study a new system o fg-- accre tivem apping inclusions in Banach spaces. Us ing the reso lvent opera to r technique for g-η- acc retivem appings, we prove the ex istence and uniqueness o f the solutions for th is system o fg-- accretivem apping inclusions. W e a lso construct a new Ish ikaw a ite ra tive algorithm fo r so lv ing th is system of g-η-accretivem app ing inc lusions and discuss the conve rgence of itera tive sequence genera ted by the a lgor ithm.

参考文献/References:

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备注/Memo

备注/Memo:
Foundation item: Supported by the Nat ional Natu ral Science Foundation of Ch in a ( 10471151 ) and C hongq ing Natu ral Science Foundat ion ( CSTC2007BB2427) .
Corresponding autho r: Y ang Yongq in, doctor, associate professor, m ajored in non linear funct ional analysis andw avelet analys is.E-m ail:yangyq6411@ 126. com
更新日期/Last Update: 2013-04-23