The class of monotone concave operators is considered by M.A. Krasnosel’sky. Significant development of this theory starts with V.I. Opoytsev’s definition of heterotone. In this paper we prove the convergence to the fixed point for a positive operator's iterations without hypothesis about monotonicity with a significant extension of the idea of concavity.
Author Biography
Mikhail Lvovich Katkov, South Ural State University
Cand. Sc. (Physics and Mathematics) Associate Professor, Mathematical and Functional Analysis Department
