Error bounds for the difference of two convex multifunctions

DOI10.1007/s11228-013-0271-2zbMath1297.49024OpenAlexW2048413900MaRDI QIDQ742196

Runxin Li, Hui Huang

Publication date: 18 September 2014

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-013-0271-2

zbMATH Keywords

normal coneerror boundcoderivativeDC multifunction

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)

Related Items (2)

Higher-order error bound for the difference of two functions ⋮ Quasi-error bounds for \(p\)-convex set-valued mappings

Cites Work

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• Exact penalty and error bounds in DC programming
• On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs
• Properties of two DC algorithms in quadratic programming
• The directional subdifferential of the difference of two convex functions
• Global error bounds for \(\gamma \)-paraconvex multifunctions
• Error bounds for vector-valued functions: necessary and sufficient conditions
• Sharp minima for multiobjective optimization in Banach spaces
• On metric and calmness qualification conditions in subdifferential calculus
• Error bounds: necessary and sufficient conditions
• On the subdifferentiability of the difference of two functions and local minimization
• Mutational and morphological analysis. Tools for shape evolution and morphogenesis
• Error bounds in mathematical programming
• On error bounds for lower semicontinuous functions.
• The DC (Difference of convex functions) programming and DCA revisited with DC models of real world nonconvex optimization problems
• Regularity and conditioning of solution mappings in variational analysis
• Error bounds and implicit multifunction theorem in smooth Banach spaces and applications to optimization
• Sufficient conditions for error bounds and applications
• Coderivative conditions for error bounds of \(\gamma\)-paraconvex multifunctions
• DC optimization approach to metric regularity of convex multifunctions with applications to infinite systems
• DC programming: overview.
• Error bounds for set inclusions
• Weak regularity of functions and sets in Asplund spaces
• The Fermat rule for multifunctions on Banach spaces
• Global Error Bounds for Convex Multifunctions and Applications
• Stability of Error Bounds for Semi-infinite Convex Constraint Systems
• Metric Subregularity and Calmness for Nonconvex Generalized Equations in Banach Spaces
• Linear Regularity for a Collection of Subsmooth Sets in Banach Spaces
• Optimization and nonsmooth analysis
• Regularity and Stability for Convex Multivalued Functions
• Affine and eclipsing multifunctions
• A survey on error bounds for lower semicontinuous functions
• Subdifferential Conditions for Calmness of Convex Constraints
• Hölder Metric Subregularity with Applications to Proximal Point Method
• Regularization by erasement
• A Nonlinear Extension of Hoffman's Error Bounds for Linear Inequalities
• Characterizations of Error Bounds for Convex Multifunctions on Banach Spaces

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