TY - JOUR
T1 - Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems
AU - Mishra, S. K.
AU - Wang, S. Y.
AU - Lai, K. K.
PY - 2007/9/15
Y1 - 2007/9/15
N2 - We introduce a symmetric dual pair for a class of nondifferentiable multi-objective fractional variational problems. Weak, strong, converse and self duality relations are established under certain invexity assumptions. The paper includes extensions of previous symmetric duality results for multi-objective fractional variational problems obtained by Kim, Lee and Schaible [D.S. Kim, W.J. Lee, S. Schaible, Symmetric duality for invex multiobjective fractional variational problems, J. Math. Anal. Appl. 289 (2004) 505-521] and symmetric duality results for the static case obtained by Yang, Wang and Deng [X.M. Yang, S.Y. Wang, X.T. Deng, Symmetric duality for a class of multiobjective fractional programming problems, J. Math. Anal. Appl. 274 (2002) 279-295] to the dynamic case. © 2006 Elsevier Inc. All rights reserved.
AB - We introduce a symmetric dual pair for a class of nondifferentiable multi-objective fractional variational problems. Weak, strong, converse and self duality relations are established under certain invexity assumptions. The paper includes extensions of previous symmetric duality results for multi-objective fractional variational problems obtained by Kim, Lee and Schaible [D.S. Kim, W.J. Lee, S. Schaible, Symmetric duality for invex multiobjective fractional variational problems, J. Math. Anal. Appl. 289 (2004) 505-521] and symmetric duality results for the static case obtained by Yang, Wang and Deng [X.M. Yang, S.Y. Wang, X.T. Deng, Symmetric duality for a class of multiobjective fractional programming problems, J. Math. Anal. Appl. 274 (2002) 279-295] to the dynamic case. © 2006 Elsevier Inc. All rights reserved.
KW - Generalized convexity
KW - Nonlinear programming
KW - Symmetric duality
KW - Variational problems
UR - http://www.scopus.com/inward/record.url?scp=34249093068&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-34249093068&origin=recordpage
U2 - 10.1016/j.jmaa.2006.11.054
DO - 10.1016/j.jmaa.2006.11.054
M3 - RGC 21 - Publication in refereed journal
SN - 0022-247X
VL - 333
SP - 1093
EP - 1110
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -