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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 208, Number 3, Pages 440–451
DOI: https://doi.org/10.4213/tmf10083 (Mi tmf10083) 		 
Existence and uniqueness of fixed points of an integral operator of Hammerstein type

F. H. Khaidarovab

a Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan
b AKFA University, Tashkent, Uzbekistan
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DOI: https://doi.org/10.4213/tmf10083
Abstract: We study the existence and uniqueness of positive fixed points of an integral operator of the Hammerstein type in the space of continuous functions. Under certain conditions on the integral operator, we establish a sufficient condition for the the integral operator to have exactly one positive fixed point.
Keywords: Hammerstein integral operator, positive fixed point, existence, uniqueness, cone, normal cone.
Received: 27.02.2021
Revised: 27.02.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 208, Issue 3, Pages 1228–1238
DOI: https://doi.org/10.1134/S0040577921090051
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Document Type: Article
Language: Russian
Citation: F. H. Khaidarov, “Existence and uniqueness of fixed points of an integral operator of Hammerstein type”, TMF, 208:3 (2021), 440–451; Theoret. and Math. Phys., 208:3 (2021), 1228–1238
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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