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有关非扩张映射的带误差的迭代收敛定理 被引量:2

Weak and Strong Convergence of a Scheme with Errors for Three Nonexpansive Mappings
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摘要 讨论了3个非扩张映射的带误差的迭代格式,在一致凸Banach空间中,在比紧性弱的条件下,通过这种格式,强弱收敛到3个非扩张映射的公共不动点. An iterative scheme with errors involving three nonexpansive mappings is considered. It approximate the common fixed points of these three mappings by weak and strong convergence of the scheme in a uniformly convex Banach space under a condition weaker than compactness.
出处 《河北大学学报(自然科学版)》 CAS 北大核心 2007年第3期238-240,共3页 Journal of Hebei University(Natural Science Edition)
基金 河北省自然科学基金数学研究专项资助项目(07M003)
关键词 带误差的迭代 非扩张映射 公共不动点 条件A" 弱和强收敛 iterative scheme with errors nonexpansive mappings common fixed point condition (A)" weak and strong convergence
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参考文献7

  • 1XU Y.Ishikawa and Mann Iterative process with errors for nonlinear strongly accretive operator equations[J].J math Anal ApPl,1998,224:91-101.
  • 2DASG,DEBATA J P.Fixed points of quasi-nonexpansive mappings[J].Indian J PureAppl Math,1986,17:1263-1269.
  • 3TAKAHASHI W,TAMUTA T.Convergence theorems for a pair of nonexpansive mappings[J].J Convex Analysis,1998,5(1):45-58.
  • 4KHAN S H,FUKHAR-UD-DIN H.Weak and strong convergence of a scheme with errors for two nonexpansive mappings[J].Nonlinear Anal,2005,61:1295-1301.
  • 5OPIAL Z.Weak convergence of the sequence of successive approximations for nonexpansive mappings[J].Bull Amer Math Soc,1967,73:581-597.
  • 6SCHU J.Weak and strong convergence to fixed points of asymptotically nonexpansive mappings[J].Bull Austal Math Soc,1991.43:153-159.
  • 7TAN K K,XU H K.Approximation of fixed points of nonexpansive mappings by the Ishikawa iterative process[J].J MathAnal Appl,1993,178:301-308.

同被引文献20

  • 1GOEBEL K,KIRK W A. A fixed point theorem for asymptotically nonexpansive mappings[J]. Proc Amer Math Soc, 1972,35:171-174.
  • 2CHIDUME C E, LIU JINLU, UDOMENE A. Convergence of paths and approximation of fixed points of asymptotically nonexpansive mappings[J].Proc Amer Math Soc, 2005,113 : 473 - 480.
  • 3CHIDUME C E,CHIDUME C O. Iterative approximation of fixed points of nonexpansive mappings[J].J Math Anal Appl, 2006,318 : 288- 295.
  • 4SUZIKI T. Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Boehner intergral[J]. J Math Anal Appl, 2005,305 : 227- 239.
  • 5XU Hongkun. Iterative algorithms for nonlinear operators[J]. J London Math Soe, 2002,2 : 240- 256.
  • 6MATSUSHITA S,TAKAHASHI W.A strong convergence theorem for relatively nonexpansive mappings in a Banachspace[J].J Approx Theory,2005,134:257-266.
  • 7BUTNARIU D,REICH S,ZASLAVSKI A J.Asymptotic behavior of relatively nonexpansive operators in Banach spaces[J].J Appl Anal,2001,7:151-174.
  • 8BUTNARIU D,REICH S,ZASLAVSKI A J.Weak convergence of orbits of nonlinear operators in reflexive Banach spaces[J].Numer Funct Anal Optim,2003,24:489-508.
  • 9CENSOR Y,REICH S.Iterations of paracontractions and firmly nonexpansive operators with applications to feasibility andoptimization[J].Optimization,1996,37:323-339.
  • 10HALPERN B.Fixed points of nonexpanding maps[J].Bull Amer Math Soc,1967,73:957-961.

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