Generalized convex functions and generalized differentials

DOI10.1080/02331934.2011.611882zbMath1302.26009OpenAlexW2093907809MaRDI QIDQ2868908

N. T. H. Linh, Jean-Paul Penot

Publication date: 19 December 2013

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2011.611882

zbMATH Keywords

optimality conditionsquasiconvex functionpseudoconvex functionmathematical programminggeneralized differentialcolinvexprotoconvex function

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Fractional programming (90C32) Convexity of real functions of several variables, generalizations (26B25) Derivatives of functions in infinite-dimensional spaces (46G05) Optimality conditions for problems in abstract spaces (49K27)

Related Items (3)

Generalized derivatives and optimality conditions in nonconvex optimization ⋮ On global subdifferentials with applications in nonsmooth optimization ⋮ Strong subdifferentials: theory and applications in nonconvex optimization

Cites Work

• On quasimonotone variational inequalities.
• Subdifferential properties of quasiconvex and pseudoconvex functions: Unified approach
• Nonsmooth calculus, minimality, and monotonicity of convexificators
• Generalized monotonicity of subdifferentials and generalized convexity
• Generalized convexity of functions and generalized monotonicity of set-valued maps
• Characterization of solution sets of quasiconvex programs
• Lagrangian approach to quasiconvex programing
• Continuity properties of the normal cone to the level sets of a quasiconvex function
• Generalized monotonicity and generalized convexity
• An Appropriate Subdifferential for Quasiconvex Functions
• A Fuzzy Necessary Optimality Condition for Non-Lipschitz Optimization in Asplund Spaces
• Quasiconvex programming with locally starshaped constraint region and applications to quasiconvex MPEC
• Optimality Conditions for Quasiconvex Programs
• Approximate Jacobian Matrices for Nonsmooth Continuous Maps and C¹-Optimization
• Characterizations of generalized convexities via generalized directional derivatives
• Surrogate Programming and Multipliers in Quasi-convex Programming
• What is quasiconvex analysis?
• Glimpses upon quasiconvex analysis
• Adjusted Sublevel Sets, Normal Operator, and Quasi-convex Programming
• Generalized Convexity and Generalized Derivatives
• Generalized Convexity, Generalized Monotonicity and Nonsmooth Analysis
• Variational subdifferential for quasiconvex functions

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