拟- Φ -渐近非扩张映像的修改的Halpern-Mann-型迭代的强收敛定理及应用

Abstract

Abstract:

The purpose of this article is to modify the Halpern-Mann-type iteration algorithm for quasi-Φ-asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of Banach spaces. The results presented in the paper improve and extend the corresponding recent results of [4, 6--7, 11--13] and others.

Key words: Modified Halpern-Mann-type iteration, Quasi-Φ-symptotically nonexpansive map-pin, Quasi-Φ-nonexpansive mapping, Relatively nonexpansive mapping, Generalized projec-tion
MR(2000) Subject Classification: 47J05, 47H09, 49J25

CLC Number:

47J05

TANG Yong-Kun, ZHANG Shi-Sheng, WANG Lin, XU Yu-Guang, WANG Gang. Strong Convergence Theorems of Modified Halpern-mann-type Iterations for Quasi-Φ-asymptotically Nonexpansive Mappings and Applications[J].Acta mathematica scientia,Series A, 2014, 34(5): 1151-1160.

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Strong Convergence Theorems of Modified Halpern-mann-type Iterations for Quasi-Φ-asymptotically Nonexpansive Mappings and Applications

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