A special class of nonlinear non differentiable programming problem containing square root term in the objective function as well as in the constraints is considered. Necessary and sufficient conditions of optimality are given under strong pseudoinvexity assumption on the functions involved. These conditions are then used to establish duality theorems.
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Univ Franche Comte, CNRS, UMR 6623, Equipe Math Besancon, F-25030 Besancon, FranceUniv Franche Comte, CNRS, UMR 6623, Equipe Math Besancon, F-25030 Besancon, France
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Kings Coll London, Dept Phys, London WC2R 2LS, EnglandKings Coll London, Dept Phys, London WC2R 2LS, England
Alexandre, J.
Defenu, N.
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Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, GermanyKings Coll London, Dept Phys, London WC2R 2LS, England
Defenu, N.
Grigolia, G.
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Univ Debrecen, POB 105, H-4010 Debrecen, Hungary
Univ Trento, Dept Phys, Via Sommar 14, I-38123 Povo, Trento, ItalyKings Coll London, Dept Phys, London WC2R 2LS, England
Grigolia, G.
Marian, I. G.
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Univ Debrecen, POB 105, H-4010 Debrecen, Hungary
Atomki, POB 51, H-4001 Debrecen, Hungary
MTA DE Particle Phys Res Grp, POB 51, H-4001 Debrecen, HungaryKings Coll London, Dept Phys, London WC2R 2LS, England
Marian, I. G.
Mdinaradze, D.
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Univ Debrecen, POB 105, H-4010 Debrecen, HungaryKings Coll London, Dept Phys, London WC2R 2LS, England
Mdinaradze, D.
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Trombettoni, A.
Turovtsi-Shiutev, Y.
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Uzhgorod Natl Univ, 14 Univ Str, UA-88000 Uzhgorod, UkraineKings Coll London, Dept Phys, London WC2R 2LS, England
Turovtsi-Shiutev, Y.
Nandori, I
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Univ Debrecen, POB 105, H-4010 Debrecen, Hungary
Atomki, POB 51, H-4001 Debrecen, Hungary
MTA DE Particle Phys Res Grp, POB 51, H-4001 Debrecen, HungaryKings Coll London, Dept Phys, London WC2R 2LS, England