Partitions of Unity and Applications
Chapter
Abstract
In nonlinear analysis, several interesting results have been proved by using a technique known as the partition of unity. This approach is based upon elementary topological tools — the existence of a finite covering of a compact space, and a partition of unity subordinated to this covering and then the Brouwer fixed point theorem for single-valued mappings.
Keywords
Variational Inequality Convex Subset Open Cover Topological Vector Space Nonempty Closed Convex Subset
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Copyright information
© Springer Science+Business Media Dordrecht 1997