International Journal of applied mathematics and computer science

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Paper details

Number 4 - December 1995
Volume 5 - 1995

The necessary and sufficient conditions for the integral of a multivalued map to be a polygon

Ahmed Boussouar, O. Arino, S. Gautier

Abstract
Let F be a multivalued map from I := [a, b] into IR2 defined by F(t) = {h(t), f(t)}, where f and h are continuous maps from I into IR2. The aim of this paper is to find the necessary and sufficient conditions on the mappings f and h for an integral of F to be a convex polygon.

Keywords
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