Hartley Proper Efficiency in Multiobjective Optimization Problems with Locally Lipschitz Set-valued Objectives and Constraints |
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Authors: | P H Sach |
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Institution: | (1) Hanoi Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307 Hanoi, Vietnam |
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Abstract: | In this paper we give necessary conditions for Hartley proper efficiency in a vector optimization problem whose objectives
and constraints are described by nonconvex locally Lipchitz set-valued maps. The obtained necessary conditions are written
in terms of a Lagrange multiplier rule. Our approach is based on a reduction theorem which leads the problem of studying proper
efficiency to a scalar optimization problem whose objective is given by a function of max-type. Sufficient conditions for
Hartley proper efficiency are also considered. |
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Keywords: | Clarke subdifferential locally Lipschitz set-valued map proper efficiency vector optimization problem |
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