Open AccessA class of gap functions for quasi-variational inequality problems
Author(s) -
Masao Fukushima
Publication year - 2007
Publication title -
journal of industrial and management optimization
Language(s) - English
Resource type - Journals
eISSN - 1553-166X
pISSN - 1547-5816
DOI - 10.3934/jimo.2007.3.165
Subject(s) - differentiable function , equivalence (formal languages) , class (philosophy) , inequality , mathematics , function (biology) , pure mathematics , mathematical analysis , computer science , artificial intelligence , evolutionary biology , biology
We present a class of gap functions for the quasi-variational inequality problem (QVIP). We show the equivalence between the optimization reformulation with the gap function and the original QVIP. We also give conditions under which the gap function is continuous and directionally differentiable.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom