Geodesic
Sufficient Second Order Optimality Conditions for C^1 Multiobjective Optimization Problems
Serdica Mathematical Journal, Tome 29 (2003) no. 3, pp. 225-238.

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In this work, we use the notion of Approximate Hessian introduced by Jeyakumar and Luc [19], and a special scalarization to establish sufficient optimality conditions for constrained multiobjective optimization problems. Throughout this paper, the data are assumed to be of class C^1, but not necessarily of class C^(1.1).
Keywords: Approximate Hessian Matrix, Recession Matrices, Sufficient Second Order Optimality Conditions, Support Functions, Multiobjective Optimization 
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     author = {Gadhi, N.},
     title = {Sufficient {Second} {Order} {Optimality} {Conditions} for {C^1} {Multiobjective} {Optimization} {Problems}},
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Gadhi, N. Sufficient Second Order Optimality Conditions for C^1 Multiobjective Optimization Problems. Serdica Mathematical Journal, Tome 29 (2003) no. 3, pp. 225-238. http://geodesic.mathdoc.fr/item/SMJ2_2003_29_3_a1/