Author： Maghri M. El
Publisher： Taylor & Francis Ltd
ISSN： 0163-0563
Source： Numerical Functional Analysis and Optimization, Vol.28, Iss.3-4, 2007-03, pp. : 287-305
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Abstract
We study the relation between weakly Pareto minimizing and Kuhn-Tucker stationary nonfeasible sequences for vector optimization under constraints, where the weakly Pareto (efficient) set may be empty. The work is placed in a context of Banach spaces and the constraints are described by a functional taking values in a cone. We characterize the asymptotic feasibility in terms of the constraint map and the asymptotic efficiency via a Kuhn-Tucker system completely approximate, distinguishing the classical bounded case from the nontrivial unbounded one. The latter requires Auslender-Crouzeix type conditions and Ekeland's variational principle for constrained vector problems.
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