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渐近拟非扩张非自映射的收敛定理 被引量:3

Convergence theorems for asymptotically quasi-nonexpansive non-self mappings
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摘要 在实线性赋范空间中引入了渐近拟非扩张非自映射概念.并在Banach空间中证明了渐近拟非扩张非自映射对的强收敛定理,所得结果推广和改进了相关文献的结论. In this paper,we introduce a new two-step iterative scheme of two asymptotically quasi-nonexpansive nonself-mappings in real normed linear space and prove strong convergence theorems for the new two-step iterative scheme in Banach spaces. The obtained results in this paper improve and extend some corresponding results.
出处 《纯粹数学与应用数学》 2016年第1期100-110,共11页 Pure and Applied Mathematics
基金 国家自然科学基金(11271282)
关键词 实BANACH空间 渐近拟非扩张映射 公共不动点 强收敛 Banach space asymptotically quasi-nonexpansive mapping common fixed point strong convergence
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参考文献6

  • 1Schu J. Iterative construction of fixed point of asymptotically nonexpansive mappings [J]. J. Math. Anal. Appl., 1991,158:407-413.
  • 2Goebel K, Kirk W A. A fixed point theorem for asymptotically nonexpansive mapping [J]. Proc. Amer. Math. Soc., 1972,35:171-174.
  • 3Hafiz Fukharuddinj, Safeer Hussain Khan. Convergence of iterates with errors of asymptotically quasi- nonexpansive mappings and applications [J]. J. Math. Anal. Appl., 2007,328:821-829.
  • 4Chidume C E, Ofoedu E U, Zegeye H . Strong and weak convergence theorems for asymptotically nonex- pansive mappings [J]. J. Math. Anal. Appl., 2003,280:364-374.
  • 5Sun Z H. Strong convergence of an implict iteration process for a finite family of asymptotically quasi- nonexpansive mappings [J]. J. Math. Anal. Appl., 2003,286:351-358.
  • 6Schu J. Weak and strong convergence of fixed points of asymptotically nonexpansive mappings [J]. Bull. Aust. Math. Soc., 1991,43:153-159 .

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