A new iterative method for multivalued nonexpansive mappings in Banach spaces with application
T. M. M. Sow · Journal of Nonlinear Analysis and Application · 2018
Let $E$ be a real Banach space having weakly continuous duality map and $K$ be a nonempty, closed and convex cone of $E$. A {\\it new iteration process} is proved to converge {\\it strongly} to a fixed point of $T$ where $T:K\\rightarrow CB(K)$ is a multivalued nonexpansive mapping which is also the solution of a variational inequality problem. There is no compactness assumption on $K$ or on $T$. The results obtained in this paper are significant improvement on important recent results.