MMN-1003

Convergence theorems for admissible perturbations of $\varphi$-pseudocontractive operators

Vasile Berinde; Abdul Rahim Khan; Mădălina Păcurar;

Abstract

We prove some convergence theorems for a Krasnosel- skij type …xed point iterative method constructed as the admissible perturbation of a nonlinear $\varphi$-pseudocontractive operator de…ned on a convex and closed subset of a Hilbert space. The new results extend and unify several related results in the current literature established for contractions, strongly pseudocontractive operators and generalized pseudocontractions.


Vol. 15 (2014), No. 1, pp. 27-37
DOI: https://doi.org/10.18514/MMN.2014.1003


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