Geodesic
Browder functions and theorems on fixed points and coincidences
Izvestiya. Mathematics , Tome 79 (2015) no. 5, pp. 1087-1095

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We introduce the notion of a functional subject to a function series, the notion of a Browder function, and also the notion of a functional subject to a Browder function. We prove theorems on the search for zeros of these functionals. On the basis of this, we obtain a development, for set-valued maps, of Browder's well-known fixed-point theorem and also prove theorems on common pre-images and coincidences of maps of metric spaces which generalize some known results.
Keywords: Browder's theorem, Browder function, search for zeros of a functional, fixed point, coincidence point. 
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     author = {T. N. Fomenko},
     title = {Browder functions and theorems on fixed points and coincidences},
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     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2015_79_5_a9/}
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T. N. Fomenko. Browder functions and theorems on fixed points and coincidences. Izvestiya. Mathematics , Tome 79 (2015) no. 5, pp. 1087-1095. http://geodesic.mathdoc.fr/item/IM2_2015_79_5_a9/