Convex sub-differential sum rule via convex semi-closed functions with applications in convex programming

DOI10.1016/j.aml.2011.01.046zbMath1219.26011OpenAlexW2045422358MaRDI QIDQ540271

Yeol Je Cho, Mehdi Roohi, Mohsen Alimohammady, Vahid Dadashi

Publication date: 1 June 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.01.046

zbMATH Keywords

sandwich theoremconvex programming problemconvex semi-closed functionconvex sub-differential sum ruledecoupling lemma

Mathematics Subject Classification ID

Convex programming (90C25) Continuity and differentiation questions (26B05) Convexity of real functions of several variables, generalizations (26B25)

Related Items (1)

On the use of semi-closed sets and functions in convex analysis

Cites Work

• Convexity and well-posed problems
• Convex analysis and nonlinear optimization. Theory and examples
• Techniques of variational analysis
• Variational methods in convex analysis
• Semi-Open Sets and Semi-Continuity in Topological Spaces
• Differentiability of cone-monotone functions on separable Banach space
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