On the Fritz John saddle point problem for differentiable multiobjective optimization

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Author(s):	Maciel, Maria C. ^[1] ; Santos, Sandra A. ^[2] ; Sottosanto, Graciela N. ^[3] Total Authors: 3
Affiliation:	^[1] Univ Nacl Sur Buenos Aires, Bahia Blanca, Buenos Aires - Argentina ^[2] Univ Estadual Campinas, Campinas, SP - Brazil ^[3] Univ Nacl Comahue AR, Neuquen - Argentina Total Affiliations: 3
Document type:	Journal article
Source:	OPSEARCH; v. 53, n. 4, p. 917-933, DEC 2016.
Web of Science Citations:	0
Abstract
In this contribution, the relationship between saddle points of Lagrangian functions associated with the inequality constrained multiobjective optimization problem and Fritz John critical points are presented under generalized notions of convexity. Assuming invexity and an extended Slater-type condition upon the multiobjective problem, a regular solution to the Fritz-John system is obtained that encompasses all the objective functions. Also, a new class of generalized convex problems is defined, and its connections with other existing classes are established. (AU)

FAPESP's process:	13/05475-7 - Computational methods in optimization
Grantee:	Sandra Augusta Santos
Support Opportunities:	Research Projects - Thematic Grants


FAPESP's process:	13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:	Francisco Louzada Neto
Support Opportunities:	Research Grants - Research, Innovation and Dissemination Centers - RIDC