Fixed point theorems for set-valued maps and existence principles for integral inclusions

New fixed point theorems of Mönch type are presented for set-valued maps. These theorems are then used to establish general existence principles for Hammerstein integral inclusions in Banach spaces.

Donal O’Regan
Department of Mathematics, National University of Ireland, Galway, Ireland

Radu Precup
Department of Applied Mathematics, “Babeş-Bolyai” University, Cluj, Romania

D. O’Regan, R. Precup, Fixed point theorems for set-valued maps and existence principles for integral inclusions, J. Math. Anal. Appl. 245 (2000), 594-612. https://doi.org/10.1006/jmaa.2000.6789

https://ictp.acad.ro/wp-content/uploads/2022/08/2000a-Precup-Fixed-point-theorems-for-set-valued-maps-and-existence-principles-for-integral-inclusions.pdf

https://doi.org/10.1006/jmaa.2000.6789

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MR :2001b:47112

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