Generalized Minimax Programming with Nondifferentiable (G, β)‐Invexity

D. H. Yuan and X. L. Liu

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We consider the generalized minimax programming problem (P) in which functions are locally Lipschitz (G, β)‐invex. Not only G‐sufficient but also G‐necessary optimality conditions are established for problem (P). With G‐necessary optimality conditions and (G, β)‐invexity on hand, we construct dual problem (DI) for the primal one (P) and prove duality results between problems (P) and (DI). These results extend several known results to a wider class of programs.

Date: 2013
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https://doi.org/10.1155/2013/854125

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:854125

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