EPSILON-PARETO OPTIMALITY FOR NONDIFFERENTIABLE MULTIOBJECTIVE PROGRAMMING VIA PENALTY-FUNCTION

Authors
LIU JC
Citation
Jc. Liu, EPSILON-PARETO OPTIMALITY FOR NONDIFFERENTIABLE MULTIOBJECTIVE PROGRAMMING VIA PENALTY-FUNCTION, Journal of mathematical analysis and applications, 198(1), 1996, pp. 248-261
Citations number
26
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
198
Issue
1
Year of publication
1996
Pages
248 - 261
Database
ISI
SICI code
0022-247X(1996)198:1<248:EOFNMP>2.0.ZU;2-C
Abstract
Necessary and sufficient conditions without a constraint qualification for epsilon-Pareto optimality of multiobjective programming are deriv ed. The necessary Kuhn-Tucker condition suggests the establishment of a Wolf-type duality theorem for nondifferentiable, convex, multiobject ive minimization problems. The generalized epsilon-saddle point for Pa reto optimality of the vector Lagrangian is studied. (C) 1996 Academic Press, Inc.