Convergence comparison and stability of Jungck-Kirk-type algorithms for common fixed point problems

被引：13

作者：

Alotaibi, Abdullah ^{[1
]}

Kumar, Vivek ^{[2
]}

Hussain, Nawab ^{[1
]}

机构：

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

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

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

Jungck-type iterative schemes; Kirk-type iterative schemes; quasi-contractive operators; goat problem; BANACH-SPACES; ITERATION METHOD; MAPPINGS; APPROXIMATION; SCHEME;

D O I：

10.1186/1687-1812-2013-173

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this article is to introduce new hybrid iterative schemes, namely Jungck-Kirk-SP and Jungck-Kirk-CR iterative schemes, and prove convergence and stability results for these iterative schemes using certain quasi-contractive operators. Numerical examples showing the comparison of convergence rate and applications of newly introduced iterative schemes are also provided. The obtained results improve, generalize and extend the works of Olatinwo (Acta Math. Univ. Comen. LXXVII(2):299-304, 2008; Fasc. Math. 40:37-43, 2008; Mat. Vesn. 61(4):247-256, 2009; Acta Math. Acad. Paedagog. Nyhazi. 25(1):105-118, 2009; Acta Univ. Apulensis 26:225-236, 2011), Chugh and Kumar (Int. J. Contemp. Math. Sci. 7(24):1165-1184, 2012; Int. J. Comput. Appl. 36(12):40-46, 2011), Bosede (Bull. Math. Anal. Appl. 2(3):65-73, 2010), Oleleru and Akewe (Fasc. Math. 47:47-61, 2011) and many others in the literature.

引用

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