Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (1): 64-75.

• Articles • Previous Articles     Next Articles

A General Iterative Method for Nonexpansive Mappings and Monotone Mappings

 YANG Chang-Sen, DU Yan-Xia, CHEN Li   

  1. College of Mathematics and Information Science, Henan Normal University, Henan |Xinxiang 453007
  • Received:2008-09-30 Revised:2009-12-02 Online:2011-02-25 Published:2011-02-25
  • Supported by:

    教育部科技司重点项目(208081)、河南省基础与前沿项目(102300410012)和河南省教育厅自然科学基金(2007110016, 2008B110016)资助

Abstract:

The purpose of this paper is to study the strong convengence of a general iterative process to find a common element of the set of fixed points of  nonexpansive mapppings and the set of solutions of variations inequality for a strongly monotone mapping.

Key words: Viscosity approximation method, Inverse-strongly monotone, Nonexpansive map, Variational inequality

CLC Number: 

  • 粘滞逼近方法| 可逆-强单调| 非扩张映射| 变差不等式
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