Second-order multiobjective symmetric duality with cone constraints

T.R. Gulati, Himani Saini and S.K. Gupta

European Journal of Operational Research, 2010, vol. 205, issue 2, 247-252

Abstract: In this paper, 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 in Mishra [9]. Moreover, self-duality theorems for these pairs are obtained assuming the function involved to be skew symmetric.

Keywords: Multiobjective; symmetric; duality; [eta]-bonvexity/[eta]-pseudobonvexity; Cones; Efficient; solutions; Properly; efficient; solutions (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:205:y:2010:i:2:p:247-252

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