ε -Properly Efficiency of Multiobjective Semidefinite Programming with Set-Valued Functions

Chun Hong Yuan and Wei Dong Rong

Mathematical Problems in Engineering, 2017, vol. 2017, 1-7

Abstract:

In this paper, we study the -properly efficiency of multiobjective semidefinite programming with set-valued functions. Firstly, we obtain the scalarization theorems under the condition of the generalized cone-subconvexlikeness. Then, we establish the alternative theorem which contains matrixes and vectors, the -Lagrange multiplier theorems, and the -proper saddle point theorems of the primal programming under some suitable conditions.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5978130

DOI: 10.1155/2017/5978130

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