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

Dorokhov A.N.

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.

Keywords


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

References 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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Copyright (c) 2015 Александр Николаевич Дорохов

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ISSN 1813-7911