| dc.contributor.author | Antczak, Tadeusz | |
| dc.contributor.author | Pitea, Ariana | |
| dc.date.accessioned | 2015-04-09T09:45:08Z | |
| dc.date.available | 2015-04-09T09:45:08Z | |
| dc.date.issued | 2014-09-02 | |
| dc.identifier.issn | 1029-242X | |
| dc.identifier.uri | http://hdl.handle.net/11089/7817 | |
| dc.description.abstract | In this paper, a new class of generalized of nonconvex multitime multiobjective variational problems is considered. We prove the sufficient optimality conditions for efficiency and proper efficiency in the considered multitime multiobjective variational problems with univex functionals. Further, for such vector variational problems, various duality results in the sense of Mond-Weir and in the sense of Wolfe are established under univexity. The results established in the paper extend and generalize results existing in the literature for such vector variational problems. | pl_PL |
| dc.language.iso | en | pl_PL |
| dc.publisher | Springer | pl_PL |
| dc.relation.ispartofseries | Journal of Inequalities and Applications;2014: 333 | |
| dc.rights | An error occurred on the license name. | * |
| dc.rights | An error occurred on the license name. | * |
| dc.rights.uri | An error occurred getting the license - uri. | * |
| dc.rights.uri | An error occurred getting the license - uri. | * |
| dc.title | Proper efficiency and duality for a new class of nonconvex multitime multiobjective variational problems | pl_PL |
| dc.type | Article | pl_PL |
| dc.page.number | 1-20 | pl_PL |
| dc.contributor.authorAffiliation | Antczak, Tadeusz, University of Łódz Faculty of Mathematics and Computer Science | pl_PL |
| dc.contributor.authorAffiliation | Pitea, Ariana, ‘Politehnica’ of Bucharest, Faculty of Applied Sciences, University | pl_PL |
| dc.references | Chinchuluun, A, Pardalos, PM: A survey of recent developments in multiobjective optimization. Ann. Oper. Res. 154, 29-50 (2007) | pl_PL |
| dc.references | Aghezzaf, B, Khazafi, K: Sufficient conditions and duality for multiobjective variational problems with generalized B-invexity. Control Cybern. 33, 113-126 (2004) | pl_PL |
| dc.references | Ahmad, I, Sharma, S: Sufficiency and duality for multiobjective variational control problems with generalized (F,α,ρ, θ)-V-convexity. Nonlinear Anal. 72, 2564-2579 (2010) | pl_PL |
| dc.references | Arana-Jiménez, M, Rufián-Lizana, A, Ruiz-Garzón, G, Osuna-Gómez, R: Efficient solutions in V-KT-pseudoinvex multiobjective control problems: a characterization. Appl. Math. Comput. 215, 441-448 (2009) | pl_PL |
| dc.references | Bector, CR, Husain, I: Duality for multiobjective variational problems. J. Math. Anal. Appl. 166, 214-229 (1992) | pl_PL |
| dc.references | Bhatia, D, Mehra, A: Optimality conditions and duality for multiobjective variational problems with generalized B-invexity. J. Math. Anal. Appl. 234, 314-360 (1999) | pl_PL |
| dc.references | Hachimi, M, Aghezzaf, B: Sufficiency and duality in multiobjective variational problems with generalized type I functions. J. Glob. Optim. 34, 191-218 (2006) | pl_PL |
| dc.references | Mishra, SK, Mukherjee, RN: On efficiency and duality for multiobjective variational problems. J. Math. Anal. Appl. 187, 40-54 (1994) | pl_PL |
| dc.references | Nahak, C, Nanda, S: Duality for multiobjective variational problems with invexity. Optimization 36, 235-248 (1996) | pl_PL |
| dc.references | Nahak, C, Nanda, S: On efficiency and duality for multiobjective variational control problems with (F,ρ)-convexity. J. Math. Anal. Appl. 209, 415-434 (1997) | pl_PL |
| dc.references | Nahak, C, Nanda, S: Sufficient optimality criteria and duality for multiobjective variational control problems with V-invexity. Nonlinear Anal. 66, 1513-1525 (2007) | pl_PL |
| dc.references | Chinchuluun, A, Pardalos, PM, Migdalas, A, Pitsoulis, L (eds.): Pareto Optimality, Game Theory and Equilibria. Springer, New York (2008) | pl_PL |
| dc.references | Udri¸ste, C, ¸Tevy, I: Multitime Euler-Lagrange-Hamilton theory. WSEAS Trans. Math. 6, 701-709 (2007) | pl_PL |
| dc.references | Pitea, A, Udri¸ste, C, Mititelu, ¸S: PDI&PDE-constrained optimization problems with curvilinear functional quotients as objective vectors. Balk. J. Geom. Appl. 14(2), 75-88 (2009) | pl_PL |
| dc.references | Pitea, A, Udri¸ste, C, Mititelu, ¸S: New type dualities in PDI and PDE constrained optimization problems. J. Adv. Math. Stud. 2(2), 81-90 (2009) | pl_PL |
| dc.references | Bector, CR, Suneja, SK, Gupta, S: Univex functions and univex nonlinear programming. In: Proceedings of the Administrative Sciences Association of Canada, pp. 115-124 (1992) | pl_PL |
| dc.references | Hanson, MA: On sufficiency of the Kuhn-Tucker conditions. J. Math. Anal. Appl. 80, 545-550 (1981) | pl_PL |
| dc.references | Antczak, T: An η-approximation approach in nonlinear vector optimization with univex functions. Asia-Pac. J. Oper. Res. 23, 525-542 (2006) | pl_PL |
| dc.references | Popa, M, Popa, M: Mangasarian type higher-order duality for a class of nondifferentiable mathematical programming. Rev. Roum. Math. Pures Appl. 49(2), 163-172 (2004) | pl_PL |
| dc.references | Mishra, SK, Rueda, N, Giorgi, NG: Multiobjective programming under generalized type I univexity. An. Univ. Bucur., Mat. LII(2), 207-224 (2003) | pl_PL |
| dc.references | Khazafi, K, Rueda, N: Multiobjective variational programming under generalized type I univexity. J. Optim. Theory Appl. 142, 363-376 (2009) | pl_PL |
| dc.references | Udri¸ste, C, Dogaru, O, ¸Tevy, I: Null Lagrangian forms and Euler-Lagrange PDEs. J. Adv. Math. Stud. 1(1-2), 143-156 (2008) | pl_PL |
| dc.references | Geoffrion, AM: Proper efficiency and the theory of vector maximization. J. Math. Anal. Appl. 22, 618-630 (1968) | pl_PL |
