J. Aust. Math. Soc.
75 (2003), 221-231
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Optimality criteria in set-valued optimization
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C. S. Lalitha
Department of Mathematics
Rajdhani College
Raja Garden
New Delhi-110015
India
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J. Dutta
Department of Mathematics
India Institute of Technology
Kanpur--208016
India
jdutta@iitk.ac.in
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Misha G. Govil
Department of Mathematics
Shri Ram College of Commerce
University of Delhi
Delhi-110007
India
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Abstract
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The main aim of this paper is to obtain
optimality conditions for a constrained
set-valued optimization problem. The concept of
Clarke epiderivative is introduced and is used
to derive necessary optimality conditions. In
order to establish sufficient optimality criteria
we introduce a new class of set-valued maps which
extends the class of convex set-valued maps and
is different from the class of invex set-valued
maps.
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