Abstract
A fixed-point theorem is proved for a broad class of closed-valued \(k( \cdot )\)-contractions with \(\lim \sup _{s \to t + 0} k(s) < 1\) for any positive t and with \(\lim \sup _{s \to 0 + 0} k(s) = 1\).
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Semenov, P.V. Fixed Points of Multivalued Contractions. Functional Analysis and Its Applications 36, 159–161 (2002). https://doi.org/10.1023/A:1015682926496
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DOI: https://doi.org/10.1023/A:1015682926496