Open AccessOptimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential
Author(s) -
Thanh-Hung Pham
Publication year - 2021
Publication title -
yugoslav journal of operations research/yugoslav journal of operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.221
H-Index - 21
eISSN - 2334-6043
pISSN - 0354-0243
DOI - 10.2298/yjor201017013p
Subject(s) - duality (order theory) , convexity , subderivative , mathematics , mathematical optimization , notation , nonlinear programming , nonlinear system , regular polygon , convex optimization , economics , pure mathematics , geometry , arithmetic , financial economics , physics , quantum mechanics
Based on the notation of Mordukhovich subdifferential in [27], we propose some of new concepts of convexity to establish optimality conditions for quasi ??solutions for nonlinear semi-infinite optimization problems with data uncertainty in constraints. Moreover, some examples are given to illustrate the obtained results.