A New Type of Directional Regularity for Mappings and Applications to Optimization

DOI10.1137/16M1067342OpenAlexW2666555240MaRDI QIDQ5275294

Marius Durea, Radu Strugariu, Marian-Dumitru Panţiruc

Publication date: 11 July 2017

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1067342

zbMATH Keywords

optimization problemsdirectional regularitygeneralized Ekeland variational principlenecessary and sufficient conditions for regularity

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Multi-objective and goal programming (90C29) Variational and other types of inclusions (47J22)

Related Items

On directional subregularity of mappings, An invariant-point theorem in Banach space with applications to nonconvex optimization, Convex analysis of minimal time and signed minimal time functions, On the stability of the directional regularity, Nonlinear metric regularity on fixed sets, Directional variational principles and applications to the existence study in optimization, Directional openness for epigraphical mappings and optimality conditions for directional efficiency, A new notion of error bounds: necessary and sufficient conditions, Unnamed Item, Stability of minimality and criticality in directional set-valued optimization problems, Preconditioned proximal point methods and notions of partial subregularity, Directional Pareto efficiency: concepts and optimality conditions, Exact penalization and optimality conditions for approximate directional minima, Metric regularity relative to a cone, The minimal time function associated with a collection of sets, Openness, Hölder Metric Regularity, and Hölder Continuity Properties of Semialgebraic Set-Valued Maps

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