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关于非扩张映射的一个新粘性迭代方法

A New Viscosity Technique for the Non-Expansive Mappings
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摘要 建立了Hilbert空间中关于非扩张映射的一个新隐中点规则粘性迭代方法,证明了由此迭代所生成的序列强收敛于非扩张映射的不动点,此不动点也是某变分不等式的解. A new viscosity technique for the implicit midpoint rule of non-expansive mappings in Hilbert spaces was es- tablished. The strong convergence of this technique was proved under certain fixed point of non-expansive mapping. This fixed point solved a certain variational inequality.
作者 肖赟 刘信东
出处 《宜宾学院学报》 2015年第12期86-90,共5页 Journal of Yibin University
关键词 粘性迭代 隐中点规则 非扩张映射 度量投影 变分不等式 viscosity implicit midpoint rule non-expansive mapping projection variational inequality
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  • 1MOUDAFI A. Viscosity approximation methods for fixed-points problems[J]. Math Anal Appl, 2000(241):46-55.
  • 2ATTOUCH H. Viscosity approximation methods for minimization problems[J]. SIAM J Optim, 1996,6(3):769-806.
  • 3XU H K. Viscosity approximation methods for nonexpansive map- pings[J]. Math Anal Appl, 2004,295(1):279-291.
  • 4AUZINGER W, FRANK R. Asymptotic error expansions for stiff equations: an analysis for the implicit midpoint and trapezoidal rules in the strongly stiff case[J]. Number Math, 1989,56(5):469- 499.
  • 5BADER G, DEUFLHARD P. A semi-implicit midpoint rule for stiff systems of ordinary differential equations[J]. Number Math, 1983,41(3):373-398.
  • 6SOMALIA S. Implicit midpoint rule to the nonlinear degenerate boundary value problems[J]. ComputMath, 2002, 79(3):327-332.
  • 7XU H K, ALGHAMDI M A, SHAHZAD N. The viscosity technique for the implicit midpoint rule of nonexpansive mappings in Hilbert spaces[J]. Fixed Point Theory Appl, 2015:41. doi:10.1186/s13663- 015-0282-9.
  • 8GOEBEL K, REICH S. Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings[M]. NY: Dekker, 1984.
  • 9GOEBEL K, KIRK W A. Topics in Metric Fixed Point Theory[M]. Cambrldge:Cambridge University Press, 1990.
  • 10XU H K. Iterative algorithms for nonlilnear operators[J]. Lond Math Soc, 2002(66):240-256.

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