CONVERGENCE THEOREMS FOR ADMISSIBLE PERTURBATIONS OF phi-PSEUDOCONTRACTIVE OPERATORS

We prove some convergence theorems for a Krasnoselskij type fixed point iterative method constructed as the admissible perturbation of a nonlinear phi-pseudocontractive operator defined on a convex and closed subset of a Hilbert space. These new results extend and unify several related results in the current literature established for contractions, strongly pseudocontractive operators and generalized pseudocontractions.