Strict global minimizers and higher-order generalized strong invexity in multiobjective optimization

DOI10.1186/1029-242X-2013-31zbMath1282.90163WikidataQ59294396 ScholiaQ59294396MaRDI QIDQ389136

Rishi Rajan Sahay, Guneet Bhatia

Publication date: 17 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

higher-order strong invexitymixed saddle pointpartial Lagrangianstrict minimizer of order \(m\)

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Convexity of real functions in one variable, generalizations (26A51)

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Strongly geodesic preinvexity and strongly invariant η-monotonicity on Riemannian manifolds and its application ⋮ Higher order strict global minimizers in non-differentiable multiobjective optimization involving higher order invexity and variational inequality ⋮ Weak efficiency of higher order for multiobjective fractional variational problem ⋮ Sufficiency and duality in nondifferentiable multiobjective programming involving higher order strong invexity

Cites Work

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• Characterizations of strict local minima and necessary conditions for weak sharp minima
• Some exact penalty results for nonlinear programs and mathematical programs with equilibrium constraints
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• Optimality and mixed saddle point criteria in multiobjective optimization
• Stability in Mathematical Programming with Nondifferentiable Data
• Sufficient conditions for the stability of local minimum points in nonsmooth optimization
• Strict efficiency in vector optimization