Open AccessAsymptotic fixed points for nonlinear contractions
Author(s) -
YongZhuo Chen
Publication year - 2005
Publication title -
fixed point theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.826
H-Index - 63
eISSN - 1687-1820
pISSN - 1687-1812
DOI - 10.1155/fpta.2005.213
Subject(s) - ultrafilter , mathematics , fixed point , differential geometry , fixed point theorem , nonlinear system , discrete mathematics , mathematical analysis , physics , quantum mechanics
Recently, W. A. Kirk proved an asymptotic fixed point theorem for nonlinear contractions by using ultrafilter methods. In this paper, we prove his theorem under weaker assumptions. Furthermore, our proof does not use ultrafilter methods
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