Strong convergence theorems for strongly monotone mappings in Banach spaces

Let $E$ be a uniformly smooth and convex real Banach space $E^*$ its dual space. Suppose $A : E\rightarrow E^*$ is bounded, strongly monotone satisfies the range condition such that $A^{-1}(0)\neq \emptyset$. Inspired by Alber [2], we introduce Lyapunov functions use new geometric properties of spaces to show strong convergence an iterative algorithm solution $Ax=0$.