Sub differential Monotonicity as Characterization of Convex Functions
From MaRDI portal
Publication:4302535
DOI10.1080/01630569408816579zbMath0807.49015OpenAlexW2048701097MaRDI QIDQ4302535
Rafael Correa, Lionel Thibault, Alejandro Jofre
Publication date: 1 March 1995
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630569408816579
Banach spaceClarke subdifferentiallower semicontinuous functionFréchet subdifferentialMoreau-Yosida proximal approximation
Related Items
Subsmooth sets: Functional characterizations and related concepts, Inexact proximal point methods for quasiconvex minimization on Hadamard manifolds, Another characterization of convexity for set-valued maps, Uniform convexity, uniform monotonicity and \((\phi,c)\)-subdifferentiability with application to nonlinear PDE, ε-Subdifferential and ε-monotonicity, Necessary and sufficient conditions for nonsmooth mathematical programs with equilibrium constraints, On the relations between some second-order derivatives, Characteristics of subdifferentials of functions, Cyclic hypomonotonicity, cyclic submonotonicity, and integration, Approximately convex functions and approximately monotonic operators, Generalized monotonicity of a separable product of operators: The multivalued case, Mean-value theorem with small subdifferentials, Generalized monotonicity of subdifferentials and generalized convexity, Pseudomonotone operators: a survey of the theory and its applications, A mean value theorem for tangentially convex functions, A survey of recent[1985-1995advances in generalized convexity with applications to duality theory and optimality conditions], Directionally limiting subdifferentials and second-order optimality conditions, Error Bounds and Multipliers in Constrained Optimization Problems with Tolerance, Nonsmooth sequential analysis in Asplund spaces, Regularization of nonconvex sweeping process in Hilbert space, DirectionalK-epiderivatives and error bound, Prox-regular sets and epigraphs in uniformly convex Banach spaces: Various regularities and other properties, Subdifferential characterization of approximate convexity: The lower semicontinuous case, Softness, sleekness and regularity properties in nonsmooth analysis, Prox-regular functions in Hilbert spaces, Uniform prox-regularity of functions and epigraphs in Hilbert spaces, Subdifferential representation formula and subdifferential criteria for the behavior of nonsmooth functions, Characterization of scalar quasiconvexity and convexity of locally lipschitz vector-valued maps, What is quasiconvex analysis?, The maximal monotonicity of the subdifferentials of convex functions: Simons' problem, Mean Value Property and Subdifferential Criteria for Lower Semicontinuous Functions, Barrier functions in the subdifferential theory, On generalized convex functions and generalized subdifferential. II, Set-valued mapping monotonicity as characterization of D.C functions, Equilibrium problems with generalized monotone bifunctions and applications to variational inequalities, On the subdifferentials of quasiconvex and pseudoconvex functions and cyclic monotonicity, Subdifferentiation of regularized functions
Cites Work
- Approximate mean value theorem for upper subderivatives
- Optimization and nonsmooth analysis
- Shrinking generalized gradients
- Generalized Directional Derivatives and Subgradients of Nonconvex Functions
- An application of Ekeland's theorem to minimax problems
- Subgradient monotonicity and convex functions
- Convex Analysis