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On the approximation of fixed points of non-self strict pseudocontractions
Journal article   Peer reviewed

On the approximation of fixed points of non-self strict pseudocontractions

Vittorio Colao, Giuseppe Marino and Nawab Hussain
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, Vol.111(1), pp.159-165
01/01/2017
DOI: https://doi.org/10.1007/s13398-016-0283-5

Abstract

Mathematics Multidisciplinary Sciences Physical Sciences Science & Technology Science & Technology - Other Topics
Let H be a Hilbert space and let C be a closed, convex and nonempty subset of H. If is a non-self and k-strict pseudocontractive mapping, we can define a map by Then, for a fixed and for we define the Krasnoselskii-Mann algorithm where So, here the coefficients are not chosen a priori, but built step by step. We prove both weak and strong convergence results when C is a strictly convex set and T is an inward mapping.

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