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مقالات فارسیISIکنفرانسهاژورنالها

On new faster fixed point iterative schemes for contraction operators and comparison of their rate of convergence in convex metric spaces

Publish place: International Journal of Nonlinear Analysis and Applications، Vol: 8، Issue: 1
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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https://civilica.com/doc/1561900

شناسه ملی سند علمی:

JR_IJNAA-8-1_029

تاریخ نمایه سازی: 11 آذر 1401

Abstract:

In this paper we present new iterative algorithms in convex metric spaces. We show that these iterative schemes are convergent to the fixed point of a single-valued contraction operator. Then we make the comparison of their rate of convergence. Additionally, numerical examples for these iteration processes are given.

Keywords:

convex metric space , Fixed point , iterative algorithm , rate of convergence , convex combination

Authors

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Babec s-Bolyai University, Department of Mathematics, Cluj-Napoca, Romania, Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania