Duality for optimization problems in Banach algebras

DOI10.1007/s10898-011-9763-5zbMath1281.90086OpenAlexW2053930892MaRDI QIDQ693124

M. C. Fu

Publication date: 7 December 2012

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-011-9763-5

zbMATH Keywords

nonsmooth optimizationdualitygeneralized invexitygeneralized differentiationBanach algebra (space)

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48)

Related Items

Duality problems with second-order polyhedral discrete and differential inclusions, On duality for mathematical programs with vanishing constraints, New optimality conditions for nonsmooth control problems, Multiobjective program with support functions under \((G,C,\rho)\)-convexity assumptions, Parametric Saddle Point Criteria in Semi-Infinite Minimax Fractional Programming Problems Under (p,r)-Invexity

Cites Work

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• Characterization of nonsmooth quasiconvex and pseudoconvex functions
• The gap function for optimization problems in Banach spaces
• Exact relaxations of non-convex variational problems
• Nondifferentiable multiobjective Mond-Weir type second-order symmetric duality over cones
• An algorithm for the global optimization of a class of continuous minimax problems
• Optimality criteria in mathematical programming involving generalized invexity
• On sufficiency of the Kuhn-Tucker conditions
• Foreword to: Semidefinite programming
• Second order symmetric duality in mathematical programming with \(F\)-convexity
• On invex sets and preinvex functions
• An \(\epsilon\)-sensitivity analysis for semidefinite programming
• Infinite (semi-infinite) problems to characterize the optimality of nonlinear optimization problems
• Nonsmooth Optimization Using Mordukhovich's Subdifferential
• Encyclopedia of Optimization
• A duality theorem for non-linear programming
• On generalised convex mathematical programming
• Convex Analysis
• Semidefinite programming and combinatorial optimization
• Generalized invexity and duality in multiobjective programming problems
• \((p,r)\)-invex sets and functions