有限簇伪压缩映象和单调映象广义迭代法的强收敛性

Abstract

Abstract:

In Hilbert space, a general approximation method is proposed for finding a common element of the set of fixed points of a finite family of continuous pseudo-contractive mappings and solutions of variational inequalities for monotone mappings. Strong convergence of iterative sequences generated by the method are obtained under some more general conditions.

Key words: Pseudo-contractive mapping, Monotone mapping, Fixed point, Strongly positive operator, Variational inequality

CLC Number:

47H05

WEN Dao-Jun. Strong Convergence of an General Iterative Method for a Finite Family of Pseudo-Contractive and Monotone Mappings[J].Acta mathematica scientia,Series A, 2014, 34(5): 1123-1132.

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References

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Strong Convergence of an General Iterative Method for a Finite Family of Pseudo-Contractive and Monotone Mappings

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