Geodesic
Existence and uniqueness of fixed points of an integral operator of Hammerstein type
Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 3, pp. 440-451

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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, uniqueness, cone, normal cone.
Mots-clés : existence 
@article{TMF_2021_208_3_a4,
     author = {F. H. Khaidarov},
     title = {Existence and uniqueness of fixed points of an integral operator of {Hammerstein} type},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {440--451},
     publisher = {mathdoc},
     volume = {208},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_208_3_a4/}
}
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F. H. Khaidarov. Existence and uniqueness of fixed points of an integral operator of Hammerstein type. Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 3, pp. 440-451. http://geodesic.mathdoc.fr/item/TMF_2021_208_3_a4/