On Strict Pseudoconvexity

DOI10.1515/JAA.2007.183zbMath1132.26331MaRDI QIDQ5454865

Vsevolod I. Ivanov

Publication date: 3 April 2008

Published in: Journal of Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

nonsmooth analysisnonsmooth optimizationgeneralized convexitystrict pseudoconvexitydini-directional derivatives

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Convexity of real functions of several variables, generalizations (26B25)

Related Items (2)

Characterizations of nonconvex optimization problems via variational inequalities ⋮ Characterizations of pseudoconvex functions and semistrictly quasiconvex ones

Cites Work

• Quasiconvex, pseudoconvex, and strictly pseudoconvex quadratic functions
• Nine kinds of quasiconcavity and concavity
• Second-order characterizations of pseudo-convex quadratic functions
• Subdifferential properties of quasiconvex and pseudoconvex functions: Unified approach
• Minty variational inequalities, increase-along-rays property and optimization
• Seven kinds of monotone maps
• Generalized monotonicity and generalized convexity
• On the convexifiability of pseudoconvex C2-functions
• Second order characterizations of pseudoconvex functions
• On generalised convex nonsmooth functions
• Second-Order Characterizations of Convex and Pseudoconvex Functions
• Seven Kinds of Convexity
• Second Order Conditions for Pseudo-Convex Functions

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