A theorem of supporting hyperplanes for a class of convex level sets in a Hilbert space is obtained. As an application of this result, we prove an alternative theorem on solutions of variational inequalities defined on convex level sets. Two examples are given to demonstrate the usefulness and advantages of our alternative theorem.
|Number of pages||9|
|Journal||Journal of Nonlinear and Convex Analysis|
|Publication status||Published - 2015 Jan 1|
All Science Journal Classification (ASJC) codes
- Geometry and Topology
- Control and Optimization
- Applied Mathematics