RUS  ENG
Full version
JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2001 Volume 70, Issue 2, Pages 163–169 (Mi mzm730)

This article is cited in 3 papers

Geometric Difference of Multivalued Maps

M. V. Balashov

Moscow Institute of Physics and Technology

Abstract: An analog of the finite-dimensional theorem about the upper semicontinuity of the geometric difference of continuous multivalued maps for separable Banach spaces is obtained. Sufficient conditions for the continuity of the geometric difference of multivalued maps in finite-dimensional spaces without the “nonempty interior” condition are obtained. Examples that demonstrate the unimprovability of these results are given.

UDC: 517.977.8

Received: 29.04.1999

DOI: 10.4213/mzm730


 English version:
Mathematical Notes, 2001, 70:2, 147–153

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025