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.
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© 1997 Springer Science+Business Media Dordrecht
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Singh, S., Watson, B., Srivastava, P. (1997). Partitions of Unity and Applications. In: Fixed Point Theory and Best Approximation: The KKM-map Principle. Mathematics and Its Applications, vol 424. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8822-5_4
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DOI: https://doi.org/10.1007/978-94-015-8822-5_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4918-6
Online ISBN: 978-94-015-8822-5
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