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Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems
- Source :
-
Journal of Mathematical Analysis & Applications . Sep2007, Vol. 333 Issue 2, p1093-1110. 18p. - Publication Year :
- 2007
-
Abstract
- Abstract: 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. [Copyright &y& Elsevier]
- Subjects :
- *DYNAMIC programming
*NONLINEAR programming
*MATHEMATICAL programming
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 333
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 25183290
- Full Text :
- https://doi.org/10.1016/j.jmaa.2006.11.054