[PDF][PDF] Convergence theorems for admissible perturbations of\varphi-pseudocontractive operators
We prove some convergence theorems for a Krasnoselskij type fixed point iterative method
constructed as the admissible perturbation of a nonlinear'-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.
constructed as the admissible perturbation of a nonlinear'-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.
Abstract
We prove some convergence theorems for a Krasnoselskij type fixed point iterative method constructed as the admissible perturbation of a nonlinear'-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.
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