On monotone pseudocontractive operators and Krasnoselskij iterations in an ordered Hilbert space

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dc.contributor.authorJorquera Alvarez, Eduardo Daniel
dc.date.accessioned2024-05-10T02:11:35Z
dc.date.available2024-05-10T02:11:35Z
dc.date.issued2023-02-22
dc.description.abstractThe aim of this work is to establish fixed point results in ordered Hilbert spaces for monotone operators with a pseudocontractive property. We state monotone versions of Theorem 12 in [F. E. Browder, W. V. Petryshyn, Construction of fixed points of nonlinear mappings in Hilbert space, J. Math. Anal. Appl. 20 (1967), 197–228] and Theorem 2.1 in [Berinde, Vasile. Weak and strong convergence theorems for the Krasnoselskij iterative algorithm in the class of enriched strictly pseudocontractive operators, Annals of West University of Timisoara-Mathematics and Computer Science, vol. 56, no. 2, 2018, pp. 13–27], as well as, several related results. Further results, in Hilbert spaces without a partial order, are stated too.
dc.identifier.urihttps://publicacionesabiertas.userena.cl/handle/123456789/14
dc.language.isoen
dc.publisherSpringer Open
dc.titleOn monotone pseudocontractive operators and Krasnoselskij iterations in an ordered Hilbert space
dc.typeArticle

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