Geometric and metric characterizations of transversality properties
From MaRDI portal
Publication:2189629
DOI10.1007/s10013-020-00388-1zbMath1441.49019OpenAlexW3009476075MaRDI QIDQ2189629
Hoa T. Bui, Nguyen Duy Cuong, Alexander Y. Kruger
Publication date: 16 June 2020
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/172676
Sensitivity, stability, well-posedness (49K40) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)
Related Items
Necessary conditions for non-intersection of collections of sets ⋮ Primal necessary characterizations of transversality properties ⋮ Dual sufficient characterizations of transversality properties ⋮ TRANSVERSALITY, REGULARITY AND ERROR BOUNDS IN VARIATIONAL ANALYSIS AND OPTIMISATION ⋮ Fuzzy multiplier, sum and intersection rules in non-Lipschitzian settings: decoupling approach revisited ⋮ Transversality versus strong tangential transversality ⋮ Unnamed Item ⋮ Transversality properties: primal sufficient conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On local convergence of the method of alternating projections
- About \([q\)-regularity properties of collections of sets]
- Enhanced metric regularity and Lipschitzian properties of variational systems
- About subtransversality of collections of sets
- Local linear convergence for alternating and averaged nonconvex projections
- Linear regularity and \(\phi\)-regularity of nonconvex sets
- Transversality and alternating projections for nonconvex sets
- Uniform subsmoothness and linear regularity for a collection of infinitely many closed sets
- About stationarity and regularity in variational analysis
- Nonsmooth equations in optimization. Regularity, calculus, methods and applications
- About intrinsic transversality of pairs of sets
- Strong conical hull intersection property, bounded linear regularity, Jameson's property \((G)\), and error bounds in convex optimization
- Regularities and their relations to error bounds
- Stationarity and regularity of infinite collections of sets: applications to infinitely constrained optimization
- Stationarity and regularity of infinite collections of sets
- Quantitative characterizations of regularity properties of collections of sets
- Extremality, stationarity and generalized separation of collections of sets
- Set regularities and feasibility problems
- About regularity of collections of sets
- On semiregularity of mappings
- Regularity of collections of sets and convergence of inexact alternating projections
- Calculus Without Derivatives
- Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
- The SECQ, Linear Regularity, and the Strong CHIP for an Infinite System of Closed Convex Sets in Normed Linear Spaces
- Linear Regularity for a Collection of Subsmooth Sets in Banach Spaces
- Variational Analysis
- Metric regularity and subdifferential calculus
- On Projection Algorithms for Solving Convex Feasibility Problems
- Variational Analysis of Regular Mappings
- About uniform regularity of collections of sets
- Implicit Functions and Solution Mappings
- Strong CHIP, normality, and linear regularity of convex sets
- Metric inequality, subdifferential calculus and applications
