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ArticleOriginal scientific text

Title

Continuous selections and approximations in α-convex metric spaces

Authors 1

Affiliations

  1. Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Abstract

In the paper, the notion of a generalized convexity was defined and studied from the view-point of the selection and approximation theory of set-valued maps. We study the simultaneous existence of continuous relative selections and graph-approximations of lower semicontinuous and upper semicontinuous set-valued maps with α-convex values having nonempty intersection.

Keywords

ENG
generalized convexity, selections, relative selections, graph-approximations

Bibliography

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2007/27/2
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Pages:
265-294
Main language of publication
English
Received
2006-01-09
Published
2007

DOI: 10.7151/dmdico.1085

Exact and natural sciences