REGULARITY PROPERTIES IN VARIATIONAL ANALYSIS AND APPLICATIONS IN OPTIMISATION

DOI10.1017/S0004972716000149zbMath1344.49025MaRDI QIDQ2814356

Nguyen Hieu Thao

Publication date: 21 June 2016

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

optimizationstabilityconvergence analysisregularityset-valued mappingsvariational analysis

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Numerical optimization and variational techniques (65K10) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53)

Cites Work

• Nonlinear regularity models
• On Hölder calmness of solution mappings in parametric equilibrium problems
• About \([q\)-regularity properties of collections of sets]
• On regularity concepts in variational analysis
• Local linear convergence for alternating and averaged nonconvex projections
• Transversality and alternating projections for nonconvex sets
• Quantitative characterizations of regularity properties of collections of sets
• On the Hölder continuity of solutions to parametric multivalued vector equilibrium problems
• About regularity of collections of sets
• Regularity on a Fixed Set
• An Induction Theorem and Nonlinear Regularity Models
• Implicit Functions and Solution Mappings
• Variational Analysis
• Metric regularity and subdifferential calculus
• On Projection Algorithms for Solving Convex Feasibility Problems
• Alternating Projections on Manifolds
• Nonconvex Notions of Regularity and Convergence of Fundamental Algorithms for Feasibility Problems
• Convex analysis and monotone operator theory in Hilbert spaces

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