期刊文献+

Banach空间中关于公共不动点的强收敛性定理.

Convergence theorems for common fixed point problems in Banach space
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摘要 引入一个迭代过程,在Banach空间中强收敛于可数个闭相对半非扩张映射的公共不动点. In this paper, We introduce iterative process, they converges strongly to a common element of a set of common xed points of countably innite family of closed relatively quasi - nonexpansive mappings in Banach space.
出处 《湖北师范学院学报(自然科学版)》 2013年第2期52-55,共4页 Journal of Hubei Normal University(Natural Science)
关键词 不动点 闭相对半非扩张映射 BANACH空间 contraction fixed point commuting mappings
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参考文献14

  • 1Alber Ya I. Metric and generalized projection operators in Banach spaces: Properties and applications, In:A. G. Kartsatos (Ed). Theory and Applications of Nonlinear Operators of Accretive and Monotone Type [ M ]. Dekker:New York, 1996.
  • 2Cioranescu I. Geometry of Banach spaces, Duality Mapping and Nonlinear Problems [ M ]. Amsterdam: Kluwer Academic publishers, 1990.
  • 3Alber Ya I, Reich S. An iterative method for solving a class of nonlinear operator equations in Banach spaces, Panamer [J]. Math J,1994,4:39 -54.
  • 4Butanriu D, Reich S, ZasIavski A J. Weak convergence of orbits of nonlinear operators in reflexive Banach spaces [ J ]. Numer Funct Anal Optim,2003,24 : 489 - 508.
  • 5Zegeye H, Ofoedu E U, Shahzad N. Convergence theorems for equilibrium problem, variational inequality problem and countably infinite relatively quasi -nonexpansive mappings[ J]. Nonlinear Anal Hybird Systems ,2010 ,in press.
  • 6Zegeye H. A hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems in Banach spaces [ J ]. Nonlinear Analysis ,2010,72:2136 - 2146.
  • 7Kamimura S, Takahashi W. Strong convergence of proximal - type algorithm in a Banach space[ J ]. SIAM J Optim,2002, 13:938 - 940.
  • 8Peng J W, Yao J C. A new hybrid - extragradient method for generalized mixed equilibrium problems, fixed point problems and variational inequality problems [ J ]. Taiwan Residents J Math,2008,12 : 1401 - 1432.
  • 9Yao Y, Liou Y C, Yao J C. New relaxed hybrid - extragradient method for fixed point problems, a general system of varia- tional in equality problems and generalized mixed equilibrium problems[ J ]. Optimization ,2010, (in press).
  • 10Nadezhkina N, Takahashi W. Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings[ J]. J Optim Theory Appl,2006 ,128 :191 -201.

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