Conjugacy in quasi-convex programming

DOI10.1007/BF02591881zbMath0547.49008MaRDI QIDQ3338838

Ury Passy, Eliezer Z. Prisman

Publication date: 1984

Published in: Mathematical Programming (Search for Journal in Brave)

zbMATH Keywords

conjugacysubdifferentialLegendre transformquasi-convex

Mathematics Subject Classification ID

Nonlinear programming (90C30) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Methods involving semicontinuity and convergence; relaxation (49J45) Duality theory (optimization) (49N15) Convexity of real functions of several variables, generalizations (26B25)

Related Items (21)

Some relations between dualities, polarities, coupling functionals, and conjugations ⋮ Duality for quasiconvex minimization over closed convex cones ⋮ Abstract concavity of increasing co-radiant and quasi-concave functions with applications in mathematical economics ⋮ Duality between direct and indirect utility functions under minimal hypotheses ⋮ Diewert-Crouzeix conjugation for general quasiconvex duality and applications ⋮ Set-valued evenly convex functions: characterizations and C-conjugacy ⋮ A convex-like duality scheme for quasi-convex programs ⋮ A consistent, reflexive duality framework of production: An application of quasi-concave conjugacy theory ⋮ Characterization of \(\mathbf R\)-evenly quasiconvex functions ⋮ Infimal convolution, \( c \)-subdifferentiability, and Fenchel duality in evenly convex optimization ⋮ Conjugate quasiconvex nonnegative functions ⋮ Duality for minimization of the difference of two \(\Phi_c\)-convex functions ⋮ Evenly convex sets, and evenly quasiconvex functions, revisited ⋮ Minimizing the Difference of Dual Functions of Two Coradiant Functions ⋮ Quasiconvex duality theory by generalized conjugation methods ⋮ A duality approach to minimax results for quasi-saddle functions in finite dimensions ⋮ Analyzing linear systems containing strict inequalities via evenly convex hulls ⋮ Characterizations of evenly convex sets and evenly quasiconvex functions ⋮ Even convexity, subdifferentiability, and {\(\Gamma\)}-regularization in general topological vector spaces ⋮ On linear systems containing strict inequalities ⋮ Duality for closed convex functions and evenly convex functions

Cites Work

• Exact quasiconvex conjugation
• Duality theorems for certain programs involving minimum or maximum operations
• Maximal Separation Theorems for Convex Sets
• Convex Analysis
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