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关于三个非扩张映射收敛于其公共不动点的具误差的三重迭代法 被引量：3

Three-step Iterations Algorithm with Errors for Three Nonexpansive Mappings
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摘要 在一致凸Banach空间中,研究了关于三个不同非扩张映射的具误差的三步迭代算法,并在一定条件下证明了此迭代序列收敛于其公共不动点的弱强收敛定理. We are concerned with the study of an iterative scheme with errors involving three nonexpansive mappings. We approximate the common fixed points of these three mapping by weak and strong convergence of the scheme in a uniformly convex Banach space under some condition.
作者 王丽萍 王振吉 范瑞琴 魏利
机构地区 河北师范大学数学与信息科学学院 河北化工医药职业技术学院 石家庄铁道学院数理系 河北经贸大学数学与统计学学院应用数学教研室
出处 《数学的实践与认识》 CSCD 北大核心 2008年第18期140-145,共6页 Mathematics in Practice and Theory
基金 国家自然科学基金(10771049 10771050) 河北省自然科学基金(A2007000225) 河北师范大学基金(L2007Q05)
关键词 非扩张映射 公共不动点 具误差的三重迭代法 Nonexpansive mapping Common fixed point Three-step iterative scheme with errors
分类号 O177.91 [理学—数学]
  • 相关文献

参考文献7

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二级参考文献12

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共引文献10

同被引文献32

  • 1熊明,王绍荣,杨泽恒.Banach空间中几乎渐近非扩张型映象不动点的迭代逼近问题[J].四川大学学报（自然科学版）,2007,44(3):485-489. 被引量：5
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  • 3Nakajo K, Shimoji K, Takahashi W. Strong convergence theorems by the hybrid method for families of nonexpansive mappings in a Hilbert spaces[J]. Taiwan Residents J Math, 2006,10:339-360. 被引量：1
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  • 5Jean Philippe, Chancelier, Iterative schemes for computing fixed point of nanexpansive mappings in Banach space[J]. Jour Comp Appl Math,2009,353:141-153. 被引量：1
  • 6Chang S S, Chen Y Q, Cho Y J, Lee B S. Fixed point theorems for nonexpansive operators with dissipative perturbations in cones[J]. Comm Math Univ Caro, 1998,39(1):49-54. 被引量：1
  • 7Benlong Xu. Fixed point iteratios for asymptotically nonexpansive mapping in Banach space[J]. Jour Comp Appl Math, 2002,267:444-453. 被引量：1
  • 8Liu Qihou. Iteration sequences for asymptotically quasi-nonexpansive mapping with an error member of uniform Banach space[J]. Jour Comp Appl Math. 2002,266:468-471. 被引量：1
  • 9Sahu D R. Strong convergence theorems for nonexpansive type and non-self multi-valued mappings [J]. Nonl Anal, 1999,37:401-407. 被引量：1
  • 10Geobel K, Kirk W A. A fixed point thoerem for asymptotically nonexpansive mapping[J]. Proc Amer Math Soc, 1972,35(1):171-174. 被引量：1

引证文献3

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数学的实践与认识
2008年 第18期

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