Second-order analysis of piecewise linear functions with applications to optimization and stability

DOI10.1007/s10957-016-0897-yzbMath1355.49011arXiv1507.05350OpenAlexW2275788826MaRDI QIDQ346812

Boris S. Mordukhovich, M. Ebrahim Sarabi

Publication date: 30 November 2016

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.05350

zbMATH Keywords

minimax problemslocal minimizersvariational analysispiecewise linear functionsnondegeneracyfull stabilitysecond-order subdifferentials

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Optimality conditions for minimax problems (49K35)

Related Items

Stability analysis for composite optimization problems and parametric variational systems, Critical multipliers in variational systems via second-order generalized differentiation, A Chain Rule for Strict Twice Epi-Differentiability and Its Applications, Theoretical characteristics and numerical methods for a class of special piecewise quadratic optimization

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