Research Communication | Open Access
Volume 2021 | Communication ID 144
Volume 2021 | Communication ID 144
| Generalized theta method for nonexpansive multimappings in Banach spaces |
Meddahi Meryem
Received |
Accepted |
Published |
January 29, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: Generalised theta method for nonexpansive multimaps in a Banach spaces is the aim of this paper. The proposed algorithm generalized the Mann iteration to approximate the fixed point of the multifunction. Under appropriate conditions we prove the convergence result of the implicit method. An applications to convex optimization problem and some numerical example are provided.