Second order symmetric duality in multiobjective programming involving generalized cone-invex functions |
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| Authors: | S.K. Mishra K.K. Lai |
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| Affiliation: | 1. Department of Mathematics, Statistics and Computer Science, College of Basic Sciences and Humanities, G.B. Pant University of Agriculture and Technology, Pantnagar 263 145, India;2. Department of Management Sciences, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong and College of Business Administration, Hunan University, Changsha, China |
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| Abstract: | In this paper, cone-second order pseudo-invex and strongly cone-second order pseudo-invex functions are defined. A pair of Mond–Weir type second order symmetric dual multiobjective programs is formulated over arbitrary cones. Weak, strong and converse duality theorems are established under aforesaid generalized invexity assumptions. A second self-duality theorem is also given by assuming the functions involved to be skew-symmetric. |
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| Keywords: | Second order symmetric duality Multiobjective programming Cone-pseudo-invexity |
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