This article is cited in 2 papers

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Convergence of Noor-type iteration scheme with errors in a convex cone metric space

T. N. Fomenko, K. S. Yastrebov

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: A convergence criterion of the Noor-type iteration scheme with errors is proved for the approximation of common fixed points of three sequences of uniformly quasi-Lipschitzian self-mappings of a closed convex subset in a complete convex cone metric space.

Key words: Noor-type iteration scheme, cone metric, quasi-Lipschitzian mapping, convexity in a metric space, common fixed points.

UDC: 515.124.2, 515.126.4

Received: 30.01.2015

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2016, 71:1, 39–42

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