Approximating fixed points for continuous functions on an arbitrary interval

Journal of inequalities and applications

Prasit Cholamjiak¹ 

关键词: continuous function;    convergence theorem;    fixed point;    iteration;   

DOI  :  10.1186/1029-242X-2013-214

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:47H09, 47H10.

【 授权许可】

CC BY