Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1093-1110 |
| Journal / Publication | Journal of Mathematical Analysis and Applications |
| Volume | 333 |
| Issue number | 2 |
| Publication status | Published - 15 Sept 2007 |
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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. © 2006 Elsevier Inc. All rights reserved.
Research Area(s)
- Generalized convexity, Nonlinear programming, Symmetric duality, Variational problems
Citation Format(s)
Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems. / Mishra, S. K.; Wang, S. Y.; Lai, K. K.
In: Journal of Mathematical Analysis and Applications, Vol. 333, No. 2, 15.09.2007, p. 1093-1110.
In: Journal of Mathematical Analysis and Applications, Vol. 333, No. 2, 15.09.2007, p. 1093-1110.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
