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复合Halpern迭代逼近非扩张映像不动点 被引量：1

Composite Halpern iteration for approximating fixed points of nonexpansive mappings
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摘要 针对非扩张映像不动点逼近问题,在一致光滑Banach空间框架下建立了三步复合Halpern迭代格式,证明了三步复合Halpern迭代序列逼近非扩张映像不动点的强收敛定理,所得结论改进了Halpern、L ions、R iech、H.K.Xu和W ittm ann等人的研究结果. According to the problems of the approximation for fixed points of nonexpansive mappings, the three step composite Halpern iteration scheme is presented for fixed points of nonex pansive mappings, and the strong convergence theorems for fixed points of nonexpansive mappings are proved in the uniformly smooth Banach spaces. The results improve and extend the research of Halpern, Lions, Riech, Xu, Wittmann and some others.
作者 秦小龙 苏永福 李丽华
机构地区 天津工业大学理学院 河北科技师范学院数理系
出处 《天津工业大学学报》 CAS 2006年第6期78-81,共4页 Journal of Tiangong University
基金 天津市学科建设基金资助项目(100580204)
关键词 Haplern迭代 非扩张映像 太阳非扩张收缩 不动点 Haplern iterative nonexpansive mappings sunny nonexpansive retract fixed points.
分类号 O177.91 [理学—基础数学]
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参考文献14

  • 1[1]BROWDER F E.Convergence of approximates to fixed point of nonlinear mappings in Hilbert spaces[J].Arch Rational Mech Anal,1967,24:82-90.
  • 2[2]REICH S.Strong convergence theorems for resolvents of accretive operators in Banach spaces[J].J Math Anal Appl,1980,75:287-292.
  • 3[3]HALPERN B.Fixed points of nonexpansive mpas[J].Bull Amer Math Soc,1967,73:957 -961.
  • 4[4]LIONS P L.Approximation de points fixes de contractions[J].C R Acad Sci Paris Ser A,1977,284:1 357 -1 359.
  • 5[5]WITTMANN R.Approximation of fixed points nonexpansive mappings[J].Arch Math,1992,59:486-491.
  • 6[6]SHIOJI N,TAKAHSHI W.Strong convergence of approximated sequence for nonexpansive mappings[J].Proc Amer Math Soc,1997,125(12):3 641 -3 645.
  • 7[7]REICH S.Approximating fixed points of nonexpansive mappings[J].Pan Amer Math J,1994,(4):23 -28.
  • 8[8]XU H K.Another control condition in an iterative method for nonexpansive mapping[J].Buil Austral Math Soc,2002,65:109-113.
  • 9[9]TAE-HWA Kim,XU H X.Strong convergence of modified Mann iterations[J].Nonlinear Analysis,2005,61:51-60.
  • 10[10]BRUCK R E.Nonexpansivc projections on subsets of Banach spaces[J].Pacific J Math,1973,47:341-355.

同被引文献7

  • 1张芳.非扩张映像的Ishikawa型混杂迭代方法的强收敛定理[J].天津工业大学学报,2007,26(3):73-75. 被引量：2
  • 2KOHSAKA F,TAKAHASHI T. Fixed point theorems for aclass of nonlinear mappings relate to maxi -mal monotone op-erators in Banach spaces [J]. Arch Math (Basel),2008,91:166-177.
  • 3KOHSAKA F, TAKAHASHI T. Existence and approximationof fixed points of firmly nonexpansive type mappings in Banachspaces [J]. SIAM J Optim,2008,19:824-835.
  • 4OSILIKE M 0,ISIPOGUGU F O. Weak and strong conver-gence theorems for nonspreadingtype mappings in Hilbertspaces[J]. Nonlinear Anal,2011,74: 1814—1822.
  • 5TAKAHASHI W, TOYODA M. Weak convergence theoremsfor nonexpansive mappings and monotone mappings[J]. J OptimTheory Appl,2003,118:417-428.
  • 6AOYAMA K,KIMURA Y, TAKAHASHI W,et al. Approxi-mation of common fixed points of a countable family of nonex-pansive mappings in a Banach space [J]. Nonliear Anal,2007,67:2350-2360.
  • 7XU H K. Iterative algorithms for nonlinear operators[J]. J LondMath Soc,2002,66 : 240-256.

引证文献1

天津工业大学学报
2006年 第6期

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