An Algorithm for Approximating Fixed Points Generalized Double Midpoint Rule

Theory of Approximation and Applications

مقاله 8، دوره 16، شماره 2، دی 2022، صفحه 67-80   

نوع مقاله: Research Articles

نویسنده

Hamid reza Sahebi^*

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

چکیده

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

کلیدواژه‌ها

Fixed point؛ generalized double midpoint rule؛ asymptotically nonexpansive mapping؛ Hilbert space