Necessary conditions for non-intersection of collections of sets

DOI10.1080/02331934.2021.1901899zbMath1486.90183arXiv1909.08995OpenAlexW3150442368MaRDI QIDQ5034934

Hoa T. Bui, Alexander Y. Kruger

Publication date: 21 February 2022

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.08995

zbMATH Keywords

regularitytransversalityseparationalternating projectionsextremal principle

Mathematics Subject Classification ID

Nonlinear programming (90C30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear error bounds via a change of function
• Calmness of efficient solution maps in parametric vector optimization
• About subtransversality of collections of sets
• Convex functions, monotone operators and differentiability.
• Primal necessary characterizations of transversality properties
• Dual sufficient characterizations of transversality properties
• Local linear convergence for alternating and averaged nonconvex projections
• Transversality and alternating projections for nonconvex sets
• Fuzzy principles and characterization of trustworthiness
• A nonconvex separation property in Banach spaces
• On the convergence of von Neumann's alternating projection algorithm for two sets
• On Fréchet subdifferentials
• About extensions of the extremal principle
• Transversality in variational analysis
• About intrinsic transversality of pairs of sets
• Stationarity and regularity of infinite collections of sets: applications to infinitely constrained optimization
• Stationarity and regularity of infinite collections of sets
• Transversality properties: primal sufficient conditions
• Some new characterizations of intrinsic transversality in Hilbert spaces
• Geometric and metric characterizations of transversality properties
• Extremality, stationarity and generalized separation of collections of sets
• On tangential transversality
• Perturbation of error bounds
• Techniques of variational analysis
• About regularity of collections of sets
• Regularity of collections of sets and convergence of inexact alternating projections
• A Unified Separation Theorem for Closed Sets in a Banach Space and Optimality Conditions for Vector Optimization
• Strict (ε, δ)-Subdifferentials and Extremality Conditions
• An Induction Theorem and Nonlinear Regularity Models
• Error Bounds in Metric Spaces and Application to the Perturbation Stability of Metric Regularity
• Optimization and nonsmooth analysis
• Directionally Lipschitzian Functions and Subdifferential Calculus
• Variational Analysis
• A survey on error bounds for lower semicontinuous functions
• Weak Stationarity: Eliminating the gap between necessary and sufficient conditions
• Extremal characterizations of asplund spaces
• Variational Analysis of Regular Mappings
• Error bounds and metric subregularity
• Extensions of metric regularity†
• Exact separation theorem for closed sets in Asplund spaces
• Implicit Functions and Solution Mappings
• The Lagrange Multiplier Rule for Multifunctions in Banach Spaces
• Extremum problems in the presence of restrictions

This page was built for publication: Necessary conditions for non-intersection of collections of sets