Steepest descent method for equilibrium points of nonlinear systems with accretive operators (Q1977780)

Let \(E\) be a normed linear space and let \(A\) be a bounded uniformly continuous \(\phi\)-strongly accretive multivalued map with nonempty closed convex values such that the inclusion \(0\in Ax\) has a solution \(x^*\). The authors prove the strong convergence to \(x^*\) of both Ishikawa and Mann iteration processes. The methods are also applies to the approximation of fixed points of \(\phi\)-strongly pseudocontractive maps. Some possible generalizations of the approximation method are also considered.