Second order symmetric duality in multiobjective programming involving generalized cone-invex functions

Second order symmetric duality in multiobjective programming involving generalized cone-invex functions

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Article ID: iaor20084728
Country: Netherlands
Volume: 178
Issue: 1
Start Page Number: 20
End Page Number: 26
Publication Date: Apr 2007
Journal: European Journal of Operational Research
Authors: ,
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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