Lagrangean conditions and quasiduality

DOI10.1017/S0004972700023431zbMath0362.90106OpenAlexW1979050219MaRDI QIDQ4136972

Bruce D.Craven

Publication date: 1977

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700023431

Mathematics Subject Classification ID

Nonlinear programming (90C30)

Related Items (60)

Generalized convexity and duality for multiobjective optimization problems ⋮ Duality for multiobjective variational problems with invexity ⋮ Multiobjective fractional programming duality. a Lagrangian approach ⋮ Existence of solutions for vector optimization ⋮ A converse duality theorem in multiple objective programming ⋮ Symmetric duality for multiobjective variational problems ⋮ A characterization of pseudoinvexity in multiobjective programming ⋮ A vector variational inequality and optimization over an efficient set ⋮ Strong duality for infinite-dimensional vector-valued programming problems ⋮ A modified wolfe dual for weak vector minimization ⋮ Symmetric duality for second-order fractional programs ⋮ On duality for weakly minimized vector valued optimization problems ⋮ Higher-order symmetric duality for a class of multiobjective fractional programming problems ⋮ Some remarks on vector optimization problems ⋮ Second-order duality in nondifferentiable fractional programming ⋮ Some relations between variational-like inequality problems and vectorial optimization problems in Banach spaces ⋮ Linear programming with matrix variables ⋮ Duality theory for maximizations with respect to cones ⋮ Nonsmooth multiobjective programming ⋮ Weak minimization and duality ⋮ Higher-order Mond-Weir converse duality in multiobjective programming involving cones ⋮ On sensitivity analysis for multicriteria optimization ⋮ Higher-order symmetric duality in nondifferentiable multiobjective programming problems. ⋮ Higher-order symmetric duality in multiobjective programming problems under higher-order invexity ⋮ Duality for Multiobjective Variational Problems With Pseudo-Invexity ⋮ Generalized higher-order cone-convex functions and higher-order duality in vector optimization ⋮ Wolfe type higher order multiple objective nondifferentiable symmetric dual programming with generalized invex function ⋮ Note on Mond-Weir type nondifferentiable second order symmetric duality ⋮ Duality for multiobjective variational problems ⋮ On Huard type second-order converse duality in nonlinear programming ⋮ Generalized convexity in fuzzy vector optimization through a linear ordering ⋮ Optimality conditions and Lagrange duality for vector extremum problems with set constraint ⋮ Vector-valued lagrangian and multiobjective fractional programming duality ⋮ Nondifferentiable second order symmetric duality in multiobjective programming ⋮ On minimization subject to cone constraints ⋮ Generalized convexity in multiobjective programming ⋮ Second-order symmetric duality in multiobjective programming ⋮ Second-order multiobjective symmetric duality with cone constraints ⋮ Multiobjective second-order symmetric duality with \(F\)-convexity ⋮ Mixed type converse duality in multiobjective programming problems ⋮ Symmetric duality for multiobjective fractional variational problems with generalized invexity ⋮ Some extensions of nonconvex economic modeling: invexity, quasimax, and new stability conditions ⋮ Hidden convex minimization ⋮ Duality for multiobjective variational control and multiobjective fractional variational control problems with pseudoinvexity ⋮ Optimality Conditions and Duality Theorems for Multiobjective Invex Programs ⋮ Symmetric duality for multiobjective programming using second order \((F,\rho)\)-convexity ⋮ Unnamed Item ⋮ Complete characterization of optimality for convex programming in banach spaces^† ⋮ Duality of a nonconvex sum of ratios ⋮ Duality for multiobjective control problems with generalized invexity ⋮ Invex functions and generalized convexity in multiobjective programming ⋮ A note on multiobjective second-order symmetric duality ⋮ Quasimin and quasisaddlepoint for vector optimization ⋮ Symmetric duality for a class of nonlinear fractional programming problems ⋮ Symmetric duality for a class of multiobjective fractional programming problems. ⋮ On multiobjective nonlinear programming with support functions ⋮ Constrained minimax for a vector-valued function ⋮ Implicit function theorems and lagrange multipliers ⋮ A generalization of the Arrow-Barankin-Blackwell theorem in normed spaces ⋮ Second order symmetric duality in multiobjective programming

Cites Work

• Converse duality in Banach space
• Nonlinear programming in locally convex spaces
• On the Homeomorphic Affine Embedding of a Locally Compact Cone into a Banach Dual Space Endowed with the Vague Topology
• Transposition Theorems for Cone-Convex Functions
• Technical Note—On Converse Duality in Nonlinear Programming
• Unnamed Item
• Unnamed Item

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