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Inequality Systems and Global Optimization

โœ Scribed by V. Jeyakumar; A.M. Rubinov; B.M. Glover; Y. Ishizuka

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
200 KB
Volume
202
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

Solvability results for infinite inequality systems involving convex and difference ลฝ . of convex DC functions are given. Generalizations of Farkas' lemma are obtained. These results are presented in terms of epigraphs of conjugate functions.

ลฝ . Applications are given for characterizing global โ‘€-optimality and optimality of ลฝ . difference of convex DC optimization problems with convex inequality constraints. Solvability results for cone convex inequality systems are also given.

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Characterizations of global optimality are given for general difference convex (DC) optimization problems involving convex inequality constraints. These results are obtained in terms of E-subdifferentials of the objective and constraint functions and do not require any regularity condition. An exten