Convergence and Data Dependency of Normal-S Iterative Method for Discontinuous Operators on Banach Space

被引：12

作者：

Gursoy, Faik ^{[1
]}

Khan, Abdul Rahim ^{[2
]}

Erturk, Muzeyyen ^{[1
]}

Karakaya, Vatan ^{[3
]}

机构：

[1] Adiyaman Univ, Dept Math, TR-02040 Adiyaman, Turkey

[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia

[3] Yildiz Tech Univ, Dept Math Engn, Istanbul, Turkey

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2018年 / 39卷 / 03期

关键词：

Collage theorem; data dependency; inverse problem; iterative scheme; strong convergence; COLLAGE-BASED APPROACH; INVERSE PROBLEMS; FIXED-POINTS; APPROXIMATION; EQUATIONS; MAPPINGS; MAPS;

D O I：

10.1080/01630563.2017.1363774

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study convergence, rate of convergence and data dependency of normal-S iterative method for a fixed point of a discontinuous operator T on a Banach space. We also prove some Collage type theorems for T. The main aim here is to show that there is a close relationship between the concepts of data dependency of fixed points and the collage theorems and show that the latter provides better estimate. Numerical examples in support of the results obtained are also given.

引用

页码：322 / 345

页数：24

共 39 条

[1] SOLUTION OF AN INVERSE PROBLEM FOR FRACTALS AND OTHER SETS [J].