Variational inequalities on Hilbert $C^*$-modules

Author(s):

Hedayat Fathi* , S.A.R. Hosseinioun

Message:
Abstract:
We introduce variational inequality problems on Hilbert $C^*$-modules and we prove several existence results for variational inequalities defined on closed convex sets. Then relation between variational inequalities, $C^*$-valued metric projection and fixed point theory on Hilbert $C^*$-modules is studied.
Keywords:

variational inequality , Hilbert $C^*$ , module , metric projection , fixed point

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:7 Issue: 1, Summer - Autumn 2016
Pages:
155 to 165
https://www.magiran.com/p1489766