On the Rate of Convergence of Kirk-Type Iterative Schemes

被引：19

作者：

Hussain, Nawab ^{[1
]}

Chugh, Renu ^{[2
]}

Kumar, Vivek ^{[2
]}

Rafiq, Arif ^{[3
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[2] Maharshi Dayanand Univ, Dept Math, Rohtak 124001, Haryana, India

[3] Hajvery Univ, Lahore, Pakistan

来源：

JOURNAL OF APPLIED MATHEMATICS | 2012年

关键词：

FIXED-POINTS; APPROXIMATION; EQUIVALENCE; ISHIKAWA; SPACES;

D O I：

10.1155/2012/526503

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to introduce Kirk-type new iterative schemes called Kirk-SP and Kirk-CR schemes and to study the convergence of these iterative schemes by employing certain quasi-contractive operators. By taking an example, we will compare Kirk-SP, Kirk-CR, Kirk-Mann, Kirk-Ishikawa, and Kirk-Noor iterative schemes for aforementioned class of operators. Also, using computer programs in C++, we compare the above- mentioned iterative schemes through examples of increasing, decreasing, sublinear, superlinear, and oscillatory functions.

引用

页数：22

共 23 条

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