Optimality conditions and duality for nondifferentiable multiobjective fractional programming with generalized convexity |
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| Authors: | Altannar Chinchuluun Dehui Yuan Panos M. Pardalos |
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| Affiliation: | (1) Dept. of Industrial and Systems Engineering, University of Florida, 303 Weil Hall, Gainesville, FL 32611, USA;(2) Dept. of Mathematics and Computer Science, Hanshan Teachers’ College, Chaozhou, Guangdong Province, China |
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| Abstract: | In this paper, we consider nondifferentiable multiobjective fractional programming problems. A concept of generalized convexity, which is called (C,α,ρ,d)-convexity, is first discussed. Based on this generalized convexity, we obtain efficiency conditions for multiobjective fractional programming (MFP). Furthermore, we establish duality results for three types of dual problems of (MFP) and present the corresponding duality theorems. |
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| Keywords: | Multiobjective fractional programming problem (C,α ,ρ ,d)-convexity Efficiency conditions Global efficient solution Duality |
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