Conjugate dual problems in constrained set-valued optimization and applications Export

@article{citeulike:5141897, abstract = {In this paper, two conjugate dual problems are proposed by considering the different perturbations to a set-valued vector optimization problem with explicit constraints. The weak duality, inclusion relations between the image sets of dual problems, strong duality and stability criteria are investigated. Some applications to so-called variational principles for a generalized vector equilibrium problem are shown.}, author = {Li, S. and Chen, C. and Wu, S.}, citeulike-article-id = {5141897}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.ejor.2008.02.030}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0377221708002397}, day = {01}, doi = {10.1016/j.ejor.2008.02.030}, issn = {03772217}, journal = {European Journal of Operational Research}, keywords = {duality, fenchel\_duality, optimisation, theory, variational}, month = {July}, number = {1}, pages = {21--32}, posted-at = {2009-07-14 01:49:54}, priority = {3}, title = {Conjugate dual problems in constrained set-valued optimization and applications}, url = {http://dx.doi.org/10.1016/j.ejor.2008.02.030}, volume = {196}, year = {2009} }

TY - JOUR ID - citeulike:5141897 L3 - citeulike-article-id:5141897 N2 - In this paper, two conjugate dual problems are proposed by considering the different perturbations to a set-valued vector optimization problem with explicit constraints. The weak duality, inclusion relations between the image sets of dual problems, strong duality and stability criteria are investigated. Some applications to so-called variational principles for a generalized vector equilibrium problem are shown. IS - 1 JF - European Journal of Operational Research SN - 03772217 EP - 32 TI - Conjugate dual problems in constrained set-valued optimization and applications VL - 196 SP - 21 KW - duality KW - fenchel_duality KW - optimisation KW - theory KW - variational AU - Li, S AU - Chen, C AU - Wu, S PY - 2009/07/01/ UR - http://dx.doi.org/10.1016/j.ejor.2008.02.030 ER -