An Algorithm with Fast Convergence Rate for Approximation of Fixed Points

Theory of Approximation and Applications

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 23 آذر 1401

نوع مقاله: Research Articles

نویسندگان

Sara Ebrahimi^* ؛ Hamid reza Sahebi

Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran

چکیده

In this paper, we introduce a new iterative algorithm and show that this algorithm can
be used to approximate fixed point of weak contraction mappings. Furthermore, we prove that this
iteration is equivalent to Mann iterative scheme and converges faster than many iterative
scheme for the class of weak contraction mappings. To support the main outcome of the paper, we
provide some numerical examples and show that these examples properly exceed the class of contraction maps.

کلیدواژه‌ها

fixed point؛ Weak contraction mapping؛ Rate of convergence