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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1972 Volume 87(129), Number 2, Pages 275–292 (Mi sm3049)

This article is cited in 1 paper

Fixed points and the degree of a mapping

P. D. Mil'man


Abstract: In this paper a mapping $A$ of a closed subset $D$ of a Hausdorff space $E$ into $E$ is considered, and the set $N(A)$ of solutions of the equation $x=Ax$ on a closed set $D'\subset D$ is studied.
Bibliography: 20 titles.

UDC: 517.948

MSC: 55C20, 55C25

Received: 19.01.1971


 English version:
Mathematics of the USSR-Sbornik, 1972, 16:2, 287–306

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