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This article is cited in 3 scientific papers (total in 3 papers)
Browder functions and theorems on fixed points and coincidences
T. N. Fomenko M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Abstract:
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.
DOI:
https://doi.org/10.4213/im8284
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English version:
Izvestiya: Mathematics, 2015, 79:5, 1087–1095
Bibliographic databases:
UDC:
515.124+515.126.4+517.938.5
MSC: Primary 47H10; Secondary 40A05, 49M25, 54H25, 55M20 Received: 14.08.2014
Citation:
T. N. Fomenko, “Browder functions and theorems on fixed points and coincidences”, Izv. RAN. Ser. Mat., 79:5 (2015), 239–248; Izv. Math., 79:5 (2015), 1087–1095
Citation in format AMSBIB
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Linking options:
http://mi.mathnet.ru/eng/izv8284https://doi.org/10.4213/im8284 http://mi.mathnet.ru/eng/izv/v79/i5/p239
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
T. N. Fomenko, “Fixed points and coincidences of families of mappings between
ordered sets and some metrical consequences”, Izv. Math., 83:1 (2019), 151–172
-
Fomenko T., Podoprikhin D., “On Preservation of Common Fixed Points and Coincidences Under a Homotopy of Mapping Families of Ordered Sets”, J. Optim. Theory Appl., 180:1, SI (2019), 34–47
-
T. N. Fomenko, K. S. Yastrebov, “Method for searching zeros of functionals in a conical metric space and questions of its stability”, Moscow University Mathematics Bulletin volume, 75:2 (2020), 58–64
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