Mathematics

Fixed points of extreme operators

I. A. Bakhtin, C. D. Le

Dept. of Mathematical Analysis, Voronezh State Pedagogical University, Voronezh, 394043, Russia

Abstract: In this paper new signs of existence of fixed points of extreme operators in Banach space with a cone are resulted. The normality of cone and continuity of operators are not supposed.

Keywords: cone, fixed point, extreme operator.

UDC: 517.988

Received: 05.04.2009
Revised: 19.04.2009