Analytical and numerical treatment of Jungck-type iterative schemes

被引：39

作者：

Khan, Abdul Rahim ^{[1
]}

Kumar, Vivek ^{[2
]}

Hussain, Nawab ^{[3
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

[2] KLP Coll, Dept Math, Rewari, India

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 231卷

关键词：

Jungck-type iterative schemes; Data dependence; Convergence rate; Strong convergence; Stability; FIXED-POINTS; APPROXIMATION;

D O I：

10.1016/j.amc.2013.12.150

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new and general Jungck-type iterative scheme for a pair of nonself mappings and study its strong convergence, stability and data dependence. It is exhibited that our iterative scheme has much better convergence rate than those of Jungck-Mann, Jungck-Ishikawa, Jungck-Noor and Jungck-CR iterative schemes. Numerical examples in support of validity and applications of our results are provided. Our results are extension, improvement and generalization of many known results in the literature of fixed point theory. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：521 / 535

页数：15

共 17 条

[1]

[Anonymous], 2008, FASC MATH

[2]

Berinde V., 2004, FIXED POINT THEORY A, V2, P97

[3]

Berinde V, 2007, LECT NOTES MATH, V1912, P1

[4]

Chugh R., 2011, INT J COMPUT APPL, V40, P41

[5]

Gursoy F., 2013, FIXED POINT THEORY A, V76, P12

[6] On Rate of Convergence of Jungck-Type Iterative Schemes [J].

Hussain, Nawab ;

Kumar, Vivek ;

Kutbi, Marwan A. .

ABSTRACT AND APPLIED ANALYSIS, 2013,

[7] FIXED-POINTS BY A NEW ITERATION METHOD [J].

ISHIKAWA, S .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 44 (01) :147-150

[8] Compatible maps and invariant approximations [J].

Jungck, G. ;

Hussain, N. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (02) :1003-1012

[9] COMMUTING MAPPINGS AND FIXED-POINTS [J].

JUNGCK, G .

AMERICAN MATHEMATICAL MONTHLY, 1976, 83 (04) :261-263

[10] On Modified Noor Iterations for Asymptotically Nonexpansive Mappings [J].

Khan, Abdul Rahim .

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2010, 17 (01) :127-140

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