在q -一致光滑的Banach空间关于严格伪压缩映射\quad 的粘滞逼近法

Abstract

Abstract:

In this paper, we introduce an iterative scheme by the viscosity approximation method for finding a common fixed point of a finite family of strictly pseudo-contractive mappings, which solves some variational inequality in a real q-uniformly smooth Banach space. Our results improve and extend the corresponding results announced by many others.

Key words: Fixed point, q-uniformly smooth, Strict pseudo-contraction, Viscosity approximation, Variational inequality

CLC Number:

47H09

LIU Ying. Viscosity Approximation Methods for Strict Pseudo-contractions in q-uniformly Smooth Banach Spaces[J].Acta mathematica scientia,Series A, 2011, 31(4): 998-1007.

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References

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Viscosity Approximation Methods for Strict Pseudo-contractions in q-uniformly Smooth Banach Spaces

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