An Extension of Vector Variational Inequalities With Operator Solutions (Nonlinear Analysis and Convex Analysis)
Sangho Kum, Won Kyu Kim · Institutional Repositories DataBase (IRDB) · 2004
In a recent paper, Domokos and Kolumban introduced variational inequal- ities with operator solutions to provide a suitable unified approach to several kinds of variational inequality and vector variational inequality in Banach spaces.Inspired by their work, we further develop the new scheme of vector variational inequalities with operator solutions from the single-alued case into the multi-valued one.We prove the existence of solutions of generalized vector variational inequalities with operator solu- tions.Some applications to generalized vector variational inequalities in a normed space are also provided.