On the Fritz John saddle point problem for differentiable multiobjective optimization

Autor(es)

Maciel, Maria C. ^[1] ; Santos, Sandra A. ^[2] ; Sottosanto, Graciela N. ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: OPSEARCH; v. 53, n. 4, p. 917-933, DEC 2016.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 13/05475-7 - Métodos computacionais de otimização
• Beneficiário: Sandra Augusta Santos
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: Francisco Louzada Neto
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs