An Algorithm for Approximating Fixed Points Generalized Double Midpoint Rule

الموضوعات :

Hamid Sahebi ¹ (Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran)

تاريخ الإرسال : 15 الجمعة , جمادى الأولى, 1444 تاريخ التأكيد : 20 الأربعاء , جمادى الأولى, 1444 تاريخ الإصدار : 05 السبت , ربيع الأول, 1444

الکلمات المفتاحية: Hilbert space, generalized double midpoint rule, asymptotically nonexpansive mapping, fixed point,

ملخص المقالة :

In this paper we introduce a new nonlinear algorithm for approximating xed points ofdouble midpoint rule on a nonempty, closed and convex subset of real Hilbert spaces. Undersome specic assumption imposed on the control parameters, we prove a strong convergencetheorem. In this manner, we provide some numerical examples to illustrate our main resultand to display the eciency of the proposed algorithm.