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

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  • Chun Hong Yuan
  • Wei Dong Rong

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.

Suggested Citation

  • Chun Hong Yuan & Wei Dong Rong, 2017. "ε -Properly Efficiency of Multiobjective Semidefinite Programming with Set-Valued Functions," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-7, March.
    • Handle: RePEc:hin:jnlmpe:5978130
    DOI: 10.1155/2017/5978130
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