Generalized convexity in mathematical programming

DOI10.1017/S0004972700025661zbMath0502.90066MaRDI QIDQ3968765

Bertram Mond

Publication date: 1983

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

zbMATH Keywords

surveyquasi-convexitygeneralized meanspseudo-convexityinvexgeneralizations of convexityapplications to optimizationk-convexstrongly pseudo- convex functions

Mathematics Subject Classification ID

Convex programming (90C25) Convexity of real functions of several variables, generalizations (26B25)

Related Items (12)

Oil minmax programming problems containing n-set functions ⋮ A note on a pair of nonlinear mixed integer programming problems ⋮ Generalised convexity and symmetric duality in nonlinear programming ⋮ On generalized convexity and duality with a square root term ⋮ On second-order converse duality for a nondifferentiable programming problem ⋮ Towards a unified type of concavity ⋮ Generalized Convexity in Nonlinear Programming ⋮ Sectionally Convexible Functions ⋮ Nonlinear programming with Hanson-Mond classes of functions ⋮ Generalization of convex and related functions ⋮ Unnamed Item ⋮ Generalized convex functionals and some duality results

Cites Work

• Unnamed Item
• On sufficiency of the Kuhn-Tucker conditions
• On generalized means and generalized convex functions
• Solution of certain nonlinear programs involving r-convex functions
• Strong pseudo-convex mappings in dual problems
• A note onK-convex functions
• Seven Kinds of Convexity
• r-convex functions

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