渐近拟Lipschitz算子的具误差的Ishikawa迭代序列
Ishikawa Iterative Sequence with Errors for Asymptotically Quasi-Lipschitzian Operator
摘要
证明了Banach空间中 ,渐近拟Lipschitz算子T的具误差的Ishikawa迭代序列收敛到T的不动点的一个充要条件 .这里T不一定连续 .
In this paper, we will prove a sufficient and necessary condition for Ishikawa iterative sequences with errors of asymptotically quasi-Lipschitzian operator to converge to fixed points where need not be continuous.
参考文献10
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8[8]LIU Qi - hou. Iterative sequences for asymptotically quasi- nonexpansive mappings with error member[J]. Math. Anal. Appl. ,2001, (259): 18 - 24.
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9王缨.渐近拟非扩张映象的带误差的Ishikawa迭代序列[J].西南师范大学学报（自然科学版）,2003,28(1):52-54. 被引量：11
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二级参考文献12
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1[1]Passty G B. Construction of fixed points for asymptotically nonexpansive mapping [J]. Proc Amer Math Soc,1982,84: 212-216.
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2[2]Schu J,Iterative construction of fixed points of asymptotically nonexpansive mappings [J]. J Math Anal Appl,1991,158: 407-413.
-
3[3]Goebel K,Kirk W A,A fixed point theorem for asymptotically nonexpansive mappings [J]. Proc Amer Math Soc,1972,35: 171-174.
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4[4]Ghosh M K,Debnath L. Convergence of Ishikawa iterates of quasi-nonexpansive mappings [J]. J Math Anal appl,1997,207: 96-103.
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5[5]Petryshyn W V,Williamson T E,Strong and weak convergence of the sequence of successive approx-imation for quasi-nonexpansive mappings [J]. J Math Anal Appl,1973,43: 459-497.
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6[6]Liu Qihou,Iterative sequences for asymptotically quasi-nonexpansive mappings with Error Member [J]. J Math Anal Appl,2001,259: 18-24.
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7Goebel K, Kirk W A. A fixed point theorem for asymptotically nonexpansive mapping [J]. Proc Amer Math Soc, 1972, 35:171 - 174.
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8Passty G B. Construction of fixed points for asymptotically nonexpansive mapping [J]. Proc Amer Math Soc, 1982, 84: 212-216.
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9Schu J. Iterative construction of fixed points of asymptotically nonexpansive mappings [J]. J Math Anal Appl, 1991, 158: 407- 413.
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10Ghosh M K, Debnath L. Convergence of Ishikawa iterates of quasi-nonexpansive mappings [J]. J Math Anal Appl, 1997, 207:96 - 103.
共引文献12
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1肖建中,朱杏华.关于渐近拟非扩张算子不动点迭代逼近的注记[J].应用数学学报,2004,27(4):608-616. 被引量：11
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2黄小平,李雪松.一致拟Lipschitzian映象的迭代逼近[J].电子科技大学学报,2006,35(4):564-566. 被引量：1
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3林银河.函数及函数序列的迭代估计[J].四川师范大学学报（自然科学版）,2008,31(1):52-55. 被引量：3
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4钟小毛,邓磊.广义渐近拟非扩张映射修正隐迭代过程的强收敛(英文)[J].西南大学学报（自然科学版）,2009,31(2):20-24. 被引量：6
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5程支明,钟小毛.一个迭代序列的不动点问题变分不等式问题及平衡问题(英文)[J].西南大学学报（自然科学版）,2010,32(2):123-128. 被引量：2
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6熊志忠,钟小毛.关于三个问题的混合粘性迭代(英文)[J].西南大学学报（自然科学版）,2010,32(4):124-129.
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7林亨成.l_p空间中严格伪压缩Mann迭代过程的弱收敛(英文)[J].西南大学学报（自然科学版）,2010,32(8):144-147.
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8魏刚,杨明歌.非自渐进扰动非扩张映射公共不动点的收敛定理(英文)[J].西南大学学报（自然科学版）,2010,32(10):109-113.
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9杨峰,杨明歌.平衡与不动点问题的强收敛定理(英文)[J].西南大学学报（自然科学版）,2010,32(10):114-118.
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10林亨成.希尔伯特空间中一类新的连续伪压缩映射的广义迭代算法(英文)[J].西南师范大学学报（自然科学版）,2012,37(4):46-49.
