Sigma-subdifferential and its application to minimization problem

DOI10.1007/s11117-019-00693-1zbMath1443.49024OpenAlexW2958885979MaRDI QIDQ2188356

Chunyou Sun, Hui Huang

Publication date: 10 June 2020

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-019-00693-1

zbMATH Keywords

generalized convexity\(\sigma\)-convex function\(\sigma\)-subdifferential

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonsmooth analysis (49J52) Convexity of real functions of several variables, generalizations (26B25)

Related Items (4)

On e-convex functions and e-subdifferentials in locally convex spaces ⋮ On σ-Subdifferential Polarity and Fréchet σ-Subdifferential ⋮ \(E\)-subdifferential of \(E\)-convex functions and its applications to minimization problem ⋮ On generalized convex functions and generalized subdifferential. II

Cites Work

• Fifty years of maximal monotonicity
• Nonsmooth analysis
• Weak sharp solutions of mixed variational inequalities in Banach spaces
• Coderivative conditions for error bounds of \(\gamma\)-paraconvex multifunctions
• The Fermat rule for multifunctions on Banach spaces
• Optimization and nonsmooth analysis
• ε-Subdifferential and ε-monotonicity
• Variational Analysis and Applications
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