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On Stationary Points of Nonlinear Maximum-Problems in Banach Spaces

✍ Scribed by Kirchgässner, K.; Ritter, K.

Book ID
118207754
Publisher
Society for Industrial and Applied Mathematics
Year
1966
Weight
644 KB
Volume
4
Category
Article
ISSN
0036-1402

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We generalize the fixed-point theorem of Leggett-Williams, which is a theorem giving conditions that imply the existence of three fixed points of an operator defined on a cone in a Banach space. We then show how to apply our theorem to prove the existence of three positive solutions to a second-orde