Regularity Conditions in Differentiable Vector Optimization Revisited |
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Authors: | M C Maciel S A Santos G N Sottosanto |
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Institution: | (1) Department of Mathematics, Southern National University, Av. Alem 1253, 8000 Bahía Blanca, Argentina;(2) Department of Applied Mathematics, State University of Campinas, C.P. 6065, Campinas, Brazil;(3) Department of Mathematics, Comahue National University, Santa Fe 1400, 8300 Neuquén, Argentina |
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Abstract: | This work is concerned with differentiable constrained vector optimization problems. It focus on the intrinsic connection
between positive linearly dependent gradient sets and the distinct notions of regularity that come to play in this context.
The main aspect of this contribution is the development of regularity conditions, based on the positive linear dependence
or independence of gradient sets, for problems with general nonlinear constraints, without any convexity hypothesis. Being
easy to verify, these conditions might be useful to define termination criteria in the development of algorithms.
This work was supported by Fundación Antorchas, Grant 13900/4; by Southern National University, Grant UNS 24/L069; by Comahue
National University, Grant E060/04; by CNPq-Brazil (Grants 302412/2004-2, 473586/2005-5 and 303465/2007-7) and by FAPESP-Brazil
(06/53768-0). |
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Keywords: | Nonlinear vector optimization Weak Pareto points Regularity Constraint qualifications |
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