Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings

Iranian Journal of Numerical Analysis and Optimization

مقاله 2، دوره 13، شماره 3 - شماره پیاپی 26، آذر 2023، صفحه 385-396   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2023.79068.1188

نویسنده

A. Safari-Hafshejani^*

Department of Pure Mathematics, Payame Noor University (PNU), P. O. Box: 19395-3697, Tehran, Iran.

چکیده

In this article, we find a priori and a posteriori error estimates of the fixed point for the Picard iteration associated with a noncyclic contraction map, which is defined on a uniformly convex Banach space with a modulus of convexity of power type. As a result, we obtain priori and posteriori error estimates of Zlatanov for approximating the best proximity points of
cyclic contraction maps on this type of space.

کلیدواژه‌ها

Fixed point؛ Noncyclic contraction map؛ Uniformly convex Ba-nach space؛ Modulus of convexity؛ Priori and posteriori errors estimates

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