1
Department of Mathematics, Shahid Beheshti University, Tehran, Iran
2
Department of Mathematics, Shahid Beheshti University, Tehran, Iran; Department of Mathematics, University of Arkansas, Fayetteville, Arkansas 72701, USA
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.
Fathi,H and Hosseinioun,S . (2016). Variational inequalities on Hilbert $C^*$-modules. International Journal of Nonlinear Analysis and Applications, 7(1), 155-165. doi: 10.22075/ijnaa.2015.303
MLA
Fathi,H , and Hosseinioun,S . "Variational inequalities on Hilbert $C^*$-modules", International Journal of Nonlinear Analysis and Applications, 7, 1, 2016, 155-165. doi: 10.22075/ijnaa.2015.303
HARVARD
Fathi H, Hosseinioun S. (2016). 'Variational inequalities on Hilbert $C^*$-modules', International Journal of Nonlinear Analysis and Applications, 7(1), pp. 155-165. doi: 10.22075/ijnaa.2015.303
CHICAGO
H Fathi and S Hosseinioun, "Variational inequalities on Hilbert $C^*$-modules," International Journal of Nonlinear Analysis and Applications, 7 1 (2016): 155-165, doi: 10.22075/ijnaa.2015.303
VANCOUVER
Fathi H, Hosseinioun S. Variational inequalities on Hilbert $C^*$-modules. IJNAA. 2016;7(1):155-165. doi: 10.22075/ijnaa.2015.303
International Journal of Nonlinear Analysis and Applications