Second-order characterizations of quasiconvexity and pseudoconvexity for differentiable functions with Lipschitzian derivatives
From MaRDI portal
Publication:2228410
DOI10.1007/s11590-020-01563-6OpenAlexW3009136763MaRDI QIDQ2228410
Publication date: 17 February 2021
Published in: Optimization Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.12783
Related Items (4)
Second-order optimality conditions for constrained optimization problems with \(C^1\) data via regular and limiting subdifferentials ⋮ Second-order characterization of convex mappings in Banach spaces and its applications ⋮ Variational Convexity of Functions and Variational Sufficiency in Optimization ⋮ Second-order optimality conditions for efficiency in \(C^{1,1}\)-smooth quasiconvex multiobjective programming problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The quasiconvex envelope through first-order partial differential equations which characterize quasiconvexity of nonsmooth functions
- Generalized Hessian matrix and second-order optimality conditions for problems with \(C^{1,1}\) data
- Characterization of nonsmooth quasiconvex and pseudoconvex functions
- Generalized convexity and optimization. Theory and applications
- Generalized concavity
- Subdifferential properties of quasiconvex and pseudoconvex functions: Unified approach
- Generalized convexity of functions and generalized monotonicity of set-valued maps
- Characterizations of nonsmooth robustly quasiconvex functions
- Characterizations of pseudoconvex functions and semistrictly quasiconvex ones
- Quasiconvex functions and nonlinear PDEs
- Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming
- On second order conditions for quasiconvexity
- Criteria for quasi-convexity and pseudo-convexity: Relationships and comparisons
- Characterisations of quasiconvex functions
- Variational Analysis
- Second-Order Characterizations of Convex and Pseudoconvex Functions
- Taylor’s Formula for $C^{k,1} $ Functions
- CHARACTERIZATIONS OF QUASICONVEX AND PSEUDOCONVEX FUNCTIONS BY THEIR SECOND-ORDER REGULAR SUBDIFFERENTIALS
- Continuous generalized convex functions and their characterizations
- r-convex functions
This page was built for publication: Second-order characterizations of quasiconvexity and pseudoconvexity for differentiable functions with Lipschitzian derivatives