Two generic results in fixed point theory

Simeon Reich; Alexander J. Zaslavski

Banach Center Publications (2007)

  • Volume: 77, Issue: 1, page 215-225
  • ISSN: 0137-6934

Abstract

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We give two examples of the generic approach to fixed point theory. The first example is concerned with the asymptotic behavior of infinite products of nonexpansive mappings in Banach spaces and the second with the existence and stability of fixed points of continuous mappings in finite-dimensional Euclidean spaces.

How to cite

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Simeon Reich, and Alexander J. Zaslavski. "Two generic results in fixed point theory." Banach Center Publications 77.1 (2007): 215-225. <http://eudml.org/doc/281712>.

@article{SimeonReich2007,
abstract = {We give two examples of the generic approach to fixed point theory. The first example is concerned with the asymptotic behavior of infinite products of nonexpansive mappings in Banach spaces and the second with the existence and stability of fixed points of continuous mappings in finite-dimensional Euclidean spaces.},
author = {Simeon Reich, Alexander J. Zaslavski},
journal = {Banach Center Publications},
keywords = {Banach space; Euclidean space; non-expansive maps; fixed points; Baire category; porous set; weak ergodic theorem; weak inwardness},
language = {eng},
number = {1},
pages = {215-225},
title = {Two generic results in fixed point theory},
url = {http://eudml.org/doc/281712},
volume = {77},
year = {2007},
}

TY - JOUR
AU - Simeon Reich
AU - Alexander J. Zaslavski
TI - Two generic results in fixed point theory
JO - Banach Center Publications
PY - 2007
VL - 77
IS - 1
SP - 215
EP - 225
AB - We give two examples of the generic approach to fixed point theory. The first example is concerned with the asymptotic behavior of infinite products of nonexpansive mappings in Banach spaces and the second with the existence and stability of fixed points of continuous mappings in finite-dimensional Euclidean spaces.
LA - eng
KW - Banach space; Euclidean space; non-expansive maps; fixed points; Baire category; porous set; weak ergodic theorem; weak inwardness
UR - http://eudml.org/doc/281712
ER -

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