Duality in multiobjective nonlinear programming involving semilocally convex and related functions

DOI10.1016/S0377-2217(98)80003-9zbMath0943.90068MaRDI QIDQ1296133

Sudha Gupta, Surjeet Kaur Suneja

Publication date: 11 July 1999

Published in: European Journal of Operational Research (Search for Journal in Brave)

zbMATH Keywords

dualitymultiobjective nonlinear programmingsemilocal pseudoconvexitysemilocal quasiconvexitysemilocally convex and related functions

Mathematics Subject Classification ID

Convex programming (90C25) Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46)

Related Items (4)

Optimality conditions and duality in multiobjective nonlinear programming involving semilocally b-preinvex and related functions ⋮ Optimality criteria and duality in multiobjective programming involving nonsmooth invex functions ⋮ Optimality and duality in nonlinear programming involving semilocally B-preinvex and related functions ⋮ Multiple objective fractional programming involving semilocally type I-preinvex and related functions

Cites Work

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• Sufficient optimality conditions using generalized convex functions
• Kuhn-Tucker and Fritz John type sufficient optimality conditions for generalized semilocally convex programs
• Generalizations of convex and related functions
• Programming with semilocally convex functions
• Efficiency and generalized convex duality for multiobjective programs
• Duality in nonlinear programming involving semilocally convex and related functions
• A duality theorem for non-linear programming
• Sufficient Conditions for Global Minima of Suitably Convex Functionals from Variational and Control Theory

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