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Mohsen Alimohammady

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 011-35302462

Research

Title
Convex sub-differential sum rule via convex semi-closed functions with applications in convex programming
Type
JournalPaper
Keywords
sub-differential
Year
2011
Journal Applied mathematics letters
DOI
Researchers Mohsen Alimohammady ، Yeol Je Cho ، Vahid Dadashi ، Mehdi Roohi

Abstract

This paper deals with some basic notions of convex analysis and convex optimization via convex semi-closed functions. A decoupling-type result and also a sandwich theorem are proved. As a consequence of the sandwich theorem, we get a convex sub-differential sum rule and two separation results. Finally, the derived convex sub-differential sum rule is applied to solving the convex programming problem