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Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems |
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| Authors: | SK Mishra SY Wang |
| Institution: | 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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