关于弱压缩算子的变分不等式解的粘滞逼近算法

Abstract

Abstract:

In this paper, under the framework of a strictly convex Banach space with a uniformly Gâteaux differentiable norm, we study strong convergence of two explicit viscosity approximation methods for finding a solution to the variational inequality with weakly contractive mapping A, and give the estimate of convergence rate.

Key words: Viscosity approximation methods, Nonexpansive mappings sequence, Weak contractions, The estimate of convergence rate, Strictly convex Banach space

CLC Number:

47H06

SONG Yi-Sheng, YANG Chang-Sen. Solving Variational Inequality with Weak Contraction by Using Viscosity Approximation Methods[J].Acta mathematica scientia,Series A, 2009, 29(3): 656-668.

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Solving Variational Inequality with Weak Contraction by Using Viscosity Approximation Methods

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