J4 ›› 2009, Vol. 44 ›› Issue (6): 69-74.

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Modified threestep iterative method for solving variational inequalities

ZHAI Guangfu， FAN Liya   

  1. School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandon g, China
  • Received:2008-10-07 Published:2011-06-03
  • About author:ZHAI Guangfu(1980-), male, native of Liaocheng, Shandong, engages in method for solving variational inequalities. Email:zhaiguangfuzgf@163.com
  • Supported by:

    This research is supported by National Natural Science Foundation of China (10871226)

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Abstract:

A modified threestep iterative method for finding a common element of the solution set of a variational inequality problem and the set of fixed points of a nonexpansive mapping are introduced. We will study the strong convergence of the algorithm under weaker conditions.

Key words: threestep iterative method; variational inequality; nonexp ansive mapping; maximal monotonicity

CLC Number: 

  • O178
[1] LI Ai-qin,FAN Li-ya . Relations of generalized invariant monotonicity and invexity [J]. J4, 2008, 43(5): 71-74 .
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