一类变分不等式和非扩张映像不动点问题的一个迭代算法

Abstract

Abstract:

In this paper, the authors introduce a new iterative scheme to investigate the problem of finding a common element of the set of fixed points of a
nonexpansive mapping and the set of solutions of a variational inequality problem for a relaxed cocoercive and Lipschitz continuous mapping. The results improve and extend the recent ones announced by many others.

Key words: Variational inequality, Projection method, Relaxed cocoercive mapping, Nonexpansive mapping, Fixed point

CLC Number:

47H05

SHANG Mei-Juan, SU Yong-Fu, QIN Xiao-Long. An Iterative Method for a Kind of |Variational Inequality and Fixed Point Problem of Nonexpansive Mapping [J].Acta mathematica scientia,Series A, 2010, 30(4): 1126-1137.

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An Iterative Method for a Kind of |Variational Inequality and Fixed Point Problem of Nonexpansive Mapping

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