On $F$-Quadratic Stochastic Operators

U. A. Rozikov; U. U. Jamilov

On $F$-Quadratic Stochastic Operators

Dynamical Systems 2007-05-23 v1 Functional Analysis

Authors: U. A. Rozikov , U. U. Jamilov

Abstract

In this paper we introduce a notion of $F-$ quadratic stochastic operator. For a wide class of such operators we show that each operator of the class has unique fixed point. Also we prove that any trajectory of the $F$ -quadratic stochastic operator converges to the fixed point exponentially fast.

Keywords

operator theory fixed point theory

Cite

@article{arxiv.math/0612225,
  title  = {On $F$-Quadratic Stochastic Operators},
  author = {U. A. Rozikov and U. U. Jamilov},
  journal= {arXiv preprint arXiv:math/0612225},
  year   = {2007}
}

Comments

8 pages

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