Generalized V-univexity type-I for multiobjective programming with n-set functions

Autor:	Andreea Mădălina Stancu, I. M. Stancu-Minasian, Miruna Beldiman, Vasile Preda
Rok vydání:	2008
Předmět:	Combinatorics Discrete mathematics Control and Optimization Set function Applied Mathematics Duality (optimization) Multiobjective programming Management Science and Operations Research Type (model theory) General frame Computer Science Applications Mathematics
Zdroj:	Journal of Global Optimization. 44:131-148
ISSN:	1573-2916 0925-5001
DOI:	10.1007/s10898-008-9315-9
Popis:	In the last time important results in multiobjective programming involving type-I functions were obtained (Yuan et al. in: Konnov et al. (eds) Lecture notes in economics and mathematical systems, 2007; Mishra et al. An Univ Bucuresti Ser Mat, LII(2): 207---224, 2003). Following one of these ways, we study optimality conditions and generalized Mond-Weir duality for multiobjective programming involving n-set functions which satisfy appropriate generalized univexity V-type-I conditions. We introduce classes of functions called (ρ, ρ')-V-univex type-I, (ρ, ρ')-quasi V-univex type-I, (ρ, ρ')-pseudo V-univex type-I, (ρ, ρ')-quasi pseudo V-univex type-I, and (ρ, ρ')-pseudo quasi V-univex type-I. Finally, a general frame for constructing functions of these classes is considered.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c0719fead8e811a428b766b2a6751b19 https://doi.org/10.1007/s10898-008-9315-9 Zobrazit plný text záznamu Full text from SpringerLink