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.
Fulltext:
PDF file (400 kB)
