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Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems |
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| Authors: | S.K. Mishra S.Y. Wang |
| Affiliation: | a Department of Mathematics, Statistics and Computer Science, College of Basic Sciences and Humanities, Govind Ballabh Pant University of Agriculture and Technology, Pantnagar, India b City University of Hong Kong, Kowloon, Hong Kong c Institute of Systems Sciences, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 1000800, China d Department of Management Sciences, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong |
| 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. |
| Keywords: | Nonlinear programming Symmetric duality Variational problems Generalized convexity |
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