Convergence Results for Fixed Point Problems of Accretive Operators in Banach Spaces
- 1 University of Nigeria, Nigeria
- 2 Government College University, Pakistan
Published On: 31 July 2020
Copyright: © 2020 Chioma Lydia Ejikeme, Mujahid Abbas and Dennis Ferdinand Agbebaku. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
This paper deals with the approximate solutions of accretive maps in a uniformly convex Banach space. A weak convergence of a three - step iterative scheme involving the resolvents of accretive operators is proved. The main result is applied to a convex minimization problem in Hilbert spaces. In particular, the minimizer of a convex and proper lower semi-continuous function defined in a Hilbert space was obtained. Numerical illustration with graphical display of the convergence of the sequence obtained from the iterative scheme is also presented.
- Banach Spaces
- Accretive Operators
- Fixed Point