%0 Journal Article
%T On fixed points of fundamentally nonexpansive mappings in Banach spaces
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Moosaei, Mohammad
%D 2016
%\ 01/01/2016
%V 7
%N 1
%P 219-224
%! On fixed points of fundamentally nonexpansive mappings in Banach spaces
%K Fixed point
%K fundamentally nonexpansive mappings
%K nonexpansive mappings
%K Opial's condition
%K uniformly convex Banach spaces
%R 10.22075/ijnaa.2015.308
%X We first obtain some properties of a fundamentally nonexpansive self-mapping on a nonempty subset of a Banach space and next show that if the Banach space is having the Opial condition, then the fixed points set of such a mapping with the convex range is nonempty. In particular, we establish that if the Banach space is uniformly convex, and the range of such a mapping is bounded, closed and convex, then its the fixed points set is nonempty, closed and convex.
%U https://ijnaa.semnan.ac.ir/article_308_db07694ccc7a387cc590bac3f64bd749.pdf