variational inequalities on hilbert $c^*$-modules

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.

Bessel Type Inequalities in Hilbert C-modules

X iv :0 90 5. 40 67 v1 [ m at h. FA ] 2 5 M ay 2 00 9 BESSEL TYPE INEQUALITIES IN HILBERT C-MODULES S. S. DRAGOMIR, M. KHOSRAVI AND M. S. MOSLEHIAN Abstract. Regarding the generalizations of the Bessel inequality in Hilbert spaces which are due to Bombiari and Boas–Bellman, we obtain a version of the Bessel inequality and some generalizations of this inequality in the framework of Hilbert C∗-mo...

Hölder Type Inequalities on Hilbert C∗-modules and Its Reverses

In this paper, we show Hilbert C∗-module versions of Hölder– McCarthy inequality and its complementary inequality. As an application, we obtain Hölder type inequalities and its reverses on a Hilbert C∗-module.

Dynamical Systems on Hilbert C*-Modules

Solvability of Variational Inequalities on Hilbert Lattices

This paper provides a systematic solvability analysis for (generalized) variational inequalities on separable Hilbert lattices. By contrast to a large part of the existing literature, our approach is lattice-theoretic, and is not based on topological …xed point theory. This allows us to establish the solvability of certain types of (generalized) variational inequalities without requiring the in...

New Inequalities for G–frames in Hilbert C∗–modules

In this paper, we establish several new inequalities for g-frames in Hilbert C∗ -modules which are different in structure from those previously obtained by Balan et al. for Hilbert space frames. We also present some equalities and inequalities for g-frames in Hilbert C∗ -modules with Moore–Penrose inverses and show that they are more general and cover some results in [Xiao, XC, Zeng, XM: Some p...