The Viscosity Iterative Algorithms for the Implicit Double Midpoint Rule of Nonexpansive Mappings in Hilbert Spaces

John T Mendy^1,

¹University of the Gambia, Brikama Campus, Gambia

Cite this paper:
John T Mendy. The Viscosity Iterative Algorithms for the Implicit Double Midpoint Rule of Nonexpansive Mappings in Hilbert Spaces. American Journal of Mathematical Analysis. 2020; 8(1):1-8. doi: 10.12691/ajma-8-1-1

Abstract

In this paper, we study the viscosity iterative algorithms for the implicit double midpoint rule in real Hilbert space and prove strong convergence of the sequence {u_n} to a fixed point of T. As an application we employ our method to obtain an application of it in convex minimization and the solution of Fredholm type of integral equations.

Keywords:
viscosity implicit double midpoint hilbert space Fredohlm integral

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