Approximating fixed points for continuous functions on an arbitrary interval

被引：2

作者：

Cholamjiak, Prasit ^{[1
]}

Pholasa, Nattawut ^{[1
]}

机构：

[1] Univ Phayao, Sch Sci, Phayao 56000, Thailand

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

continuous function; convergence theorem; fixed point; iteration;

D O I：

10.1186/1029-242X-2013-214

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research article, we introduce a new iterative method for solving a fixed point problem of continuous functions on an arbitrary interval. We then prove the convergence theorem of the proposed algorithm. We finally give numerical examples to compare the result with Mann, Ishikawa and Noor iterations. Our main results extend the corresponding results in the literature.

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页数：9

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