Characterizations of pseudoconvex functions and semistrictly quasiconvex ones
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Publication:2434631
DOI10.1007/s10898-012-9956-6zbMath1312.90060OpenAlexW2023539147MaRDI QIDQ2434631
Publication date: 6 February 2014
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-012-9956-6
nonsmooth analysisoptimality conditionspseudoconvex functionssemistrictly quasiconvex functionscharacterizations of the solution set of a set constrained optimization problem
Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46) Convexity of real functions of several variables, generalizations (26B25)
Related Items (11)
Characterizations of nonconvex optimization problems via variational inequalities ⋮ Characterizations of the solution set for non-essentially quasiconvex programming ⋮ Characterizations of solution sets of differentiable quasiconvex programming problems ⋮ Characterizing the solution set of convex optimization problems without convexity of constraints ⋮ Second-order characterization of convex mappings in Banach spaces and its applications ⋮ On characterizations of solution sets of interval-valued quasiconvex programming problems ⋮ Unnamed Item ⋮ Second-order characterizations of quasiconvexity and pseudoconvexity for differentiable functions with Lipschitzian derivatives ⋮ Optimality conditions and constraint qualifications for quasiconvex programming ⋮ Characterization of radially lower semicontinuous pseudoconvex functions ⋮ Characterizations of the solution set for quasiconvex programming in terms of Greenberg-Pierskalla subdifferential
Cites Work
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- Optimization and variational inequalities with pseudoconvex functions
- A geometrical insight on pseudoconvexity and pseudomonotonicity
- Characterization of nonsmooth quasiconvex and pseudoconvex functions
- Generalized convexity and optimization. Theory and applications
- On generalized convexity in Asplund spaces
- A simple characterization of solutions sets of convex programs
- Nine kinds of quasiconcavity and concavity
- Generalized concavity
- Subdifferential properties of quasiconvex and pseudoconvex functions: Unified approach
- On the subdifferentials of quasiconvex and pseudoconvex functions and cyclic monotonicity
- B-vex functions
- Lipschitz B-vex functions and nonsmooth programming
- Generalized convexity of functions and generalized monotonicity of set-valued maps
- Characterization of nonsmooth semistrictly quasiconvex and strictly quasiconvex functions
- Seven kinds of monotone maps
- Generalized monotonicity and generalized convexity
- First and second order characterizations of pseudolinear functions
- Some remarks on the class of continuous (semi-)strictly quasiconvex functions
- Strictly quasi-convex (concave) functions and duality in mathematical programming
- Characterization of solution sets of convex programs
- On a theorem due to Crouzeix and Ferland
- Some properties of nondifferentiable pseudoconvex functions
- On variational inequalities and nonlinear programming problem
- Optimization and nonsmooth analysis
- Generalized Directional Derivatives and Subgradients of Nonconvex Functions
- Criteria for quasi-convexity and pseudo-convexity: Relationships and comparisons
- Second order characterizations of pseudoconvex functions
- Characterisations of quasiconvex functions
- On generalised convex nonsmooth functions
- Second-Order Characterizations of Convex and Pseudoconvex Functions
- Continuous generalized convex functions and their characterizations
- On pseudoconvex functions and applications to global optimization
- On Strict Pseudoconvexity
- Pseudo-Convex Functions
- Sur les inégalités linéaires
- Second Order Conditions for Pseudo-Convex Functions
- Some Properties of Generalized Concave Functions
- On strong pseudomonotonicity and (semi)strict quasimonotonicity
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