Primal necessary characterizations of transversality properties
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Publication:830190
DOI10.1007/s11117-020-00775-5OpenAlexW3040178245MaRDI QIDQ830190
Alexander Y. Kruger, Nguyen Duy Cuong
Publication date: 7 May 2021
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-020-00775-5
Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20)
Related Items
Necessary conditions for non-intersection of collections of sets ⋮ Characterizations of some transversality-type properties ⋮ TRANSVERSALITY, REGULARITY AND ERROR BOUNDS IN VARIATIONAL ANALYSIS AND OPTIMISATION ⋮ Transversality properties: primal sufficient conditions
Cites Work
- Unnamed Item
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- On local convergence of the method of alternating projections
- About \([q\)-regularity properties of collections of sets]
- A note on alternating projections for ill-posed semidefinite feasibility problems
- 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
- Error bounds: necessary and sufficient conditions
- About stationarity and regularity in variational analysis
- Linear convergence of the generalized Douglas-Rachford algorithm for feasibility problems
- From error bounds to the complexity of first-order descent methods for convex functions
- 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
- Global error bounds for piecewise convex polynomials
- Transversality properties: primal sufficient conditions
- Geometric and metric characterizations of transversality properties
- Quantitative characterizations of regularity properties of collections of sets
- Stability of implicit multifunctions via point-based criteria and applications
- Set regularities and feasibility problems
- About regularity of collections of sets
- On semiregularity of mappings
- Calculus Without Derivatives
- Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems
- METRIC REGULARITY—A SURVEY PART 1. THEORY
- Error Bounds in Metric Spaces and Application to the Perturbation Stability of Metric Regularity
- 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
- Analysis of the Convergence Rate for the Cyclic Projection Algorithm Applied to Basic Semialgebraic Convex Sets
- Error bounds and metric subregularity
- Linear Convergence of Projection Algorithms
- Metric regularity of a positive order for generalized equations
- Nonconvex Notions of Regularity and Convergence of Fundamental Algorithms for Feasibility Problems
- Implicit Functions and Solution Mappings
- Strong CHIP, normality, and linear regularity of convex sets
- Metric inequality, subdifferential calculus and applications
