Semistrictly and neatly quasiconvex programming using lower global subdifferentials

DOI10.1007/s10898-023-01278-9OpenAlexW4322201943MaRDI QIDQ6164018

Felipe Lara, Alireza Kabgani

Publication date: 26 July 2023

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-023-01278-9

zbMATH Keywords

nonconvex optimizationKKT conditionsquasiconvex programmingglobal subdifferentialsGreenberg-Pierskalla's subdifferential

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46)

Cites Work

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• Convexifactors, generalized convexity, and optimality conditions
• Approximation of quasiconvex functions by neatly quasiconvex functions
• Generalized convexity and optimization. Theory and applications
• Nonsmooth calculus, minimality, and monotonicity of convexificators
• Characterization of solution sets of quasiconvex programs
• Transformation of quasiconvex functions to eliminate local minima
• Optimality conditions for nonconvex nonsmooth optimization via global derivatives
• Karush-Kuhn-Tucker type optimality condition for quasiconvex programming in terms of Greenberg-Pierskalla subdifferential
• Characterization of nonsmooth quasiconvex functions and their Greenberg-Pierskalla's subdifferentials using semi-quasidifferentiability notion
• On global subdifferentials with applications in nonsmooth optimization
• An extension of the proximal point algorithm beyond convexity
• Characterization of the weakly efficient solutions in nonsmooth quasiconvex multiobjective optimization
• Disciplined quasiconvex programming
• Characterizing quasiconvexity of the pointwise infimum of a family of arbitrary translations of quasiconvex functions, with applications to sums and quasiconvex optimization
• Fixed point quasiconvex subgradient method
• Strictly quasi-convex (concave) functions and duality in mathematical programming
• An Appropriate Subdifferential for Quasiconvex Functions
• Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization
• Generalized Concavity
• Generalized Directional Derivatives and Subgradients of Nonconvex Functions
• Sufficient Conditions for Global Minima of Suitably Convex Functionals from Variational and Control Theory
• Relationships Between Convexificators and Greenberg–Pierskalla Subdifferentials for Quasiconvex Functions
• What is quasiconvex analysis?
• The q-asymptotic function in c-convex analysis
• Nonlinear Programming
• Convex Analysis

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