Open AccessGeneralized invexity and mathematical programs
Author(s) -
Bhuwan Joshi Chandra,
Rakesh Mohan,
Praveer Pankaj
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/yjor200615035j
Subject(s) - convexity , duality (order theory) , mathematics , mathematical optimization , mathematical economics , type (biology) , dual (grammatical number) , computer science , discrete mathematics , economics , art , ecology , literature , financial economics , biology
In this paper, using generalized convexity assumptions, we show that Mstationary condition is sufficient for global or local optimality under some mathematical programming problem with equilibrium constraints(MPEC). Further, we formulate and study Wolfe type and Mond-Weir type dual models for the MPEC, and we establish weak and strong duality theorems.