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Second-order multiobjective symmetric duality with cone constraints. (English) Zbl 1188.90238

Summary: We formulate Wolfe and Mond-Weir type second-order multiobjective symmetric dual problems over arbitrary cones. Weak, strong and converse duality theorems are established under \(\eta \)-bonvexity/\(\eta \)-pseudobonvexity assumptions. This work also removes several omissions in definitions, models and proofs for Wolfe type problems studied by S. K. Mishra [Eur. J. Oper. Res. 126, No. 3, 675–682 (2000; Zbl 0971.90103)]. Moreover, self-duality theorems for these pairs are obtained assuming the function involved to be skew symmetric.

MSC:

90C29 Multi-objective and goal programming

Citations:

Zbl 0971.90103
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References:

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