 |
||||||||
| Volume 7, Number 2, August 2006, pp. 179-188 | ||||||||
| Qamrul Hasan Ansari and Zubair Khan | ||||||||
| Key words: | ||||||||
| variational inequalities, system of variational inequalities, densely relative pseudomonotone maps, relative quasimonotone maps, coincidence point | ||||||||
| Mathematices Subject Classification: 49J40, 47J20, 47H10 | ||||||||
|
||||||||||||||||||||||||||||||||||||||||
| Abstract: | |||
| In this paper, we consider variational inequality problem over product of sets, which is equivalent to the system of variational inequalities. By introducing the concept of densely relative pseudomonotone operators, we establish the existence of a solution of our problem. As an application of our results, we prove the existence of a coincidence point of two families of nonlinear operators. | |||
| Densely relative pseudomonotone variational inequalities over product of sets | ||