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DOI: 10.23952/cot.2024.8
Received April 30, 2023; Accepted July 22, 2023; Published online October 27, 2023
Abstract. We apply the method of guiding functions to prove an extension of the Gustafson-Schmitt theorem on a periodic solution to the case of ifferential inclusions. This result is used to obtain the Birkhoff-Kellogg-Rothe and Kakutani fixed point theorems for multivalued maps.
How to Cite this Article:
V. Obukhovskii, S. Kornev, P. Korneva, Method of guiding functions and Birkhoff-Kellogg-Rothe and Kakutani fixed point theorems, Commun. Optim. Theory 2024 (2024) 8.