Journal of Optimization Theory and Applications, vol.165, no.3, pp.693-707, 2015 (SCI-Expanded)
Article / Article
Journal of Optimization Theory and Applications
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Exhausters, Weak exhausters, Reduced weak exhausters, Weak subdifferential, Optimality conditions, MINIMAL PAIRS, SUBDIFFERENTIALS
Anadolu University Affiliated:
© 2014, Springer Science+Business Media New York.In this work, it is proved that weak exhausters of a positively homogeneous function can be reduced if weak subdifferential/superdifferential can be represented as the sum of a subset of it and weak subdifferential of zero function. It is also shown that weak exhausters can be reduced if this subset is the set of minimal elements of weak subdifferential/superdifferential with respect to weak subdifferential of zero function. At the end, some optimality conditions are given using reduced weak exhausters.