ITERATIVE PROCESS FOR CERTAIN NONLINEAR MAPPINGS WITH LIPSCHITZ CONDITION

Using the new analysis techniques, the problem of iterative approximation of solutions of the equation for Lipschitz φ-strongly accretive operators and of fixed points for Lipschitz φ-strongly pseudo-contractive mappings are discussed. The main results of this paper improve and extend the corresponding results obtained by Chang, Chidume, Deng,Ding, Tan-Xu and Osilike.