Approximating Fixed Points of Non-Lipschitzian Mappings by Metric Projections

被引：2

作者：

Dehghan, Hossein ^{[1
]}

Gharajelo, Amir ^{[2
]}

Afkhamitaba, Davood ^{[3
]}

机构：

[1] Inst Adv Studies Basic Sci IASBS, Dept Math, Gava Zang 4513766731, Zanjan, Iran

[2] Roozbeh Inst Higher Educ, Dept Math, Zanjan 4518674947, Iran

[3] Islamic Azad Univ, Dept Math, Bandar Abbas Branch, Bandar Abbas 7915893144, Iran

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE THEOREMS; BANACH-SPACES; SEMIGROUPS; ERRORS;

D O I：

10.1155/2011/976192

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define and study a new iterative algorithm inspired by Matsushita and Takahashi (2008). We establish a strong convergence theorem of the proposed algorithm for asymptotically nonexpansive in the intermediate sense mappings in uniformly convex and smooth Banach spaces by using metric projections. This theorem generalizes and refines Matsushita and Takahashi's strong convergence theorem which was established for nonexpansive mappings.

引用

页数：9

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