DOI: 10.24193/fpt-ro.2023.1.12

Authors: Abdul-Majeed Al-izeri and Khalid Latrach

Abstract: In this paper, we establish two fixed point theorems of Himmelberg's type for multivalued maps. Using abstract measures of weak noncompactness, these results are applied to derive some fixed point theorems of Sadovskii's type.

Key Words and Phrases: Fixed point theorem, multivalued maps, upper semicontinuous multivalued map, weakly sequentially upper semicontinuous multivalued map, measure of weak noncompactness, condensing multivalued map.

2010 Mathematics Subject Classification: 47H10, 47H04.

Published on-line: February 1st, 2023.

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