On Gâteaux differentiability of strongly cone paraconvex vector-valued mappings
From MaRDI portal
Publication:5198000
DOI10.1080/02331934.2019.1653296zbMath1434.49006arXiv1804.02708OpenAlexW2969585421MaRDI QIDQ5198000
K. W. Leśniewski, Ewa M. Bednarczuk
Publication date: 2 October 2019
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.02708
Fréchet differentiabilitydirectional derivativevector-valued mappingsseparable Banach spacescone convex mappingsstrongly paraconvex mappings
Fréchet and Gateaux differentiability in optimization (49J50) Derivatives of functions in infinite-dimensional spaces (46G05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Differentiability of strongly paraconvex vector-valued functions
- Semiconcave functions, Hamilton-Jacobi equations, and optimal control
- Cones with bounded and unbounded bases and reflexivity
- Approximate convexity and submonotonicity.
- On the existence of directional derivatives for strongly cone-paraconvex mappings
- A criterion of \varGamma -nullness and differentiability of convex and quasiconvex functions
- Generic differentiability of order-bounded convex oparators
- Continuity and Differentiability Properties of Convex Operators
- Sufficient conditions of optimality for multiobjective optimization problems with γ-paraconvex data
- On differentiability of strongly α(⋅)-paraconvex functions in non-separable Asplund spaces
- Paraconvex functions and paraconvex sets
- An extension of Mazur's theorem on Gateaux differentiability to the class of strongly α(⋅)-paraconvex functions
- Sous-Différentiabilité de fonctions convexes à valeurs dans un espace vectoriel ordonné.
This page was built for publication: On Gâteaux differentiability of strongly cone paraconvex vector-valued mappings