Banach空间中关于非扩张映射的修改的Mann 迭代算法的强收敛定理

Abstract

Abstract:

In this paper, we introduce a new modified Mann iterative algorithm for finding a common element of the set of common fixed points of infinite family of nonexpansive mappings in a real Banach space. Then we prove a strong convergence theorem under some suitable conditions. Our results improve and extend the corresponding results announced by many others in the literature.

Key words: Strong convergence, Fixed point, Nonexpansive mapping, Banach space

CLC Number:

47H10

CAI Gang, BU Shang-Quan. Strong Convergence Theorems of a Modified Mann Iterative Method for Nonexpansive Mappings in Banach Spaces[J].Acta mathematica scientia,Series A, 2014, 34(1): 1-8.

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References

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Strong Convergence Theorems of a Modified Mann Iterative Method for Nonexpansive Mappings in Banach Spaces

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