Strong Convergence Theorem for Strict Pseudo-Contractions in Hilbert Spaces
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Date
2016
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Springeropen
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GOLD
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Yes
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Abstract
In this paper, inspired by Hussain et al. (Fixed Point Theory Appl. 2015: 17, 2015), we study a modified Mann method to approximate strongly fixed points of strict pseudo-contractive mappings. In (Hussain et al. in Fixed Point Theory Appl. 2015: 17, 2015) it is shown that the same algorithm converges strongly to a fixed point of a nonexpansive mapping under suitable hypotheses on the coefficients. Here the assumptions on the coefficients are different, as well as the techniques of the proof.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254; marino, giuseppe/0000-0001-9381-9338
Keywords
Mann's iterations, strict pseudo-contractions mappings, variational inequalities, Mainge's lemma, strict pseudo-contractions mappings, Applied Mathematics, Mann’s iterations, QA1-939, Discrete Mathematics and Combinatorics, variational inequalities, Mathematics, Analysis, Mainge’s lemma, Mainge's lemma, strong convergence, Iterative procedures involving nonlinear operators, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., Mann's iterations
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Fields of Science
0101 mathematics, 01 natural sciences
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OpenCitations Citation Count
20
Source
Journal of Inequalities and Applications
Volume
2016
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CrossRef : 1
Scopus : 34
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