Optimality conditions and duality for multiobjective semi-infinite programming with data uncertainty via Mordukhovich subdifferential | Zendy

Thanh-Hung Pham | Zendy

Open Access

Optimality 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

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.221

H-Index - 21

eISSN - 1820-743X

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.

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