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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2009 Volume 15, Number 3, Pages 106–115 (Mi timm409)

This article is cited in 2 papers

Contraction mapping

I. I. Eremin

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: We consider (uniform, $M$-Fejér, etc.) contraction mappings with the aim of constructing iterative methods for systems of linear and convex inequalities, problems of linear and convex programming, matrix games, and approximation optimization problems.

Keywords: linear and convex programming, contraction mappings, Fejér processes, fixed point set, projection operator.

UDC: 519.6

Received: 02.03.2009


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2010, 268, suppl. 1, S85–S94

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