Hölder continuity of a parametric variational inequality

Author(s):

X.F. Hu , X.B. Li *

Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
ýIn this paperý, ýwe study the Hölder continuity of solution mapping to a parametric variational inequalityý. ýAt firstý, ýrecalling a real-valued gap function of the problemý, ýwe discuss the Lipschitz continuity of the gap functioný. ýThen under the strong monotonicityý, ýwe establish the Hölder continuity of the single-valued solution mapping for the problemý. ýFinallyý, ýwe apply these results to a traffic network equilibrium problem.
Keywords:

Holder continuity , gap function , parametric variational inequality , traffic network equilibrium problem

Language:
English
Published:
Bulletin of Iranian Mathematical Society, Volume:43 Issue: 7, 2017
Pages:
2371 to 2381
https://www.magiran.com/p1850913