Variational inequalities on Hilbert C^*-modules

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.

کلیدواژه ها:

variational inequality ، Hilbert C^*-module ، metric projection ، Fixed point