Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems. (English) Zbl 1136.49025
Summary: 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 D. S. Kim, W. J. Lee and S. Schaible [J. Math. Anal. Appl. 289, No. 2, 505–521 (2004; Zbl 1134.90536)] and symmetric duality results for the static case obtained by X. M. Yang, S. Y. Wang and X. T. Deng [J. Math. Anal. Appl. 274, No. 1, 279–295 (2002; Zbl 1121.90406)] to the dynamic case.
MSC:
| 49N15 | Duality theory (optimization) |
| 90C46 | Optimality conditions and duality in mathematical programming |
| 90C32 | Fractional programming |
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