On fixed points of monotone condensing operators in F-space with a cone

Authors

  • A. N. Dorokhov Voronezh State Pedagogical University

Keywords:

F-space, Frechet space, monotone operator, condensing operator, fixed point, cone

Abstract

The paper presents the theorem on the existence of fixed points of monotone condensing operators in F-space with a cone. The continuity of the operators under investigation is not assumed.

Author Biography

A. N. Dorokhov, Voronezh State Pedagogical University

PhD (Physics and Mathematics), Associate Professor

References

Садовский Б. Н. Об одном принципе неподвижной точки // Функц. анализ и его прил. - 1967. - Т. 1, вып. 2. - С. 74-76.

Бахтин И. А. Нелинейные уравнения с монотонными операторами : учеб. пособие для спецкурса. - Воронеж : ВГПИ, 1988. - 64 с.

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Published

15.06.2015

How to Cite

Dorokhov А. Н. (2015). On fixed points of monotone condensing operators in F-space with a cone. Intellekt. Sist. Proizv., 13(2), 5–9. Retrieved from https://izdat.istu.ru/index.php/ISM/article/view/3058

Issue

Vol. 13 No. 2 (2015)

Section

Articles