Existence of the Fixed Point in the Case of Evenly Contractive Monotonic Operator

Authors

  • Mikhail Lvovich Katkov South Ural State University

Keywords:

positive operator, monotonic concave operator, heterotonic operator

Abstract

The article proves the existence of the fixed point in the case of evenly contractive monotonic operator in the Banach K-space. It proved to be right that the iterations converge to the fixed point in the metric of the even convergence. Compactness of the invariant set and the total continuity of the operator are not assumed.

Author Biography

Mikhail Lvovich Katkov, South Ural State University

Associate Professor, Mathematical and Functional Analysis Department

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Published

2013-10-25

Issue

Vol. 5 No. 2 (2013)

Section

Short communications