An Algorithm with Fast Convergence Rate for Approximation of Fixed Points
الموضوعات :
Sara Ebrahimi
1
(Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran)
Hamid Sahebi
2
(Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran)
الکلمات المفتاحية: Weak contraction mapping, fixed point, Rate of convergence,
ملخص المقالة :
In this paper, we introduce a new iterative algorithm and show that this algorithm canbe used to approximate fixed point of weak contraction mappings. Furthermore, we prove that thisiteration is equivalent to Mann iterative scheme and converges faster than many iterativescheme for the class of weak contraction mappings. To support the main outcome of the paper, weprovide some numerical examples and show that these examples properly exceed the class of contraction maps.
