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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 10, Pages 40–47
(Mi ivm8100)
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This article is cited in 1 scientific paper (total in 1 paper)
The existence of fixed points of left-continuous monotone operators in spaces with a regular cone
E. Yu. Elenskaya Chair of Mathematical Analysis, Perm State University, Perm, Russia
Abstract:
In theorems on the existence of a fixed point of an operator the latter is usually assumed to be continuous. In this paper we prove a theorem with sufficient conditions for the existence of a fixed point of an operator which is not necessarily continuous (possibly it is left-continuous). The obtained theorem with the use of regular cones is applied for proving the existence of a fixed point of a nonliner integral operator. We give an example illustrating the theorem.
Keywords:
left-continuous operator, cone in a Banach space, fixed point of an operator.
Received: 14.07.2010
Citation:
E. Yu. Elenskaya, “The existence of fixed points of left-continuous monotone operators in spaces with a regular cone”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 10, 40–47; Russian Math. (Iz. VUZ), 55:10 (2011), 34–40
Linking options:
https://www.mathnet.ru/eng/ivm8100 https://www.mathnet.ru/eng/ivm/y2011/i10/p40
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Abstract page: | 254 | Full-text PDF : | 62 | References: | 42 | First page: | 9 |
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