Abstract
In this paper, we present several fixed set theorems for multivalued mappings in Banach spaces, which in turn are multivalued versions of the Krasnosel’skii fixed point theorem, for various kind of perturbations.
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Abdallah, M.Y., Al-Izeri, A. & Latrach, K. Some remarks on fixed sets for perturbed multivalued mappings. J. Fixed Point Theory Appl. 23, 38 (2021). https://doi.org/10.1007/s11784-021-00875-z
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DOI: https://doi.org/10.1007/s11784-021-00875-z
Keywords
- Fixed set theorem
- upper semicontinuous multivalued mappings
- measure of weak noncompactness
- contractive perturbations
- condensing perturbations
- countably condensing perturbations