TY - JOUR
ID - 41045
T1 - Fixed point results for a new mapping related to mean nonexpansive mappings.
JO - Advances in Operator Theory
JA - AOT
LA - en
SN -
A1 - Gallagher, Torrey M
Y1 - 2017
PY - 2017/01/01
VL - 2
IS - 1
SP - 1
EP - 16
KW - Mean nonexpansive
KW - fixed point
KW - approximate fixed point sequence
KW - nonexpansive
KW - nonlinear operator
DO - 10.22034/aot.1610.1029
N2 - Mean nonexpansive mappings were first introduced in 2007 by Goebel and Jap'on Pineda and advances have been made by several authors toward understanding their fixed point properties in various contexts. For any given mean nonexpansive mapping of a Banach space, many of the positive results have been derived from knowing that a certain average of some iterates of the mapping is nonexpansive. However, nothing is known about the properties of a mean nonexpansive mapping which has been averaged with the identity. In this paper we prove some fixed point results for a mean nonexpansive mapping which has been composed with a certain average of itself and the identity and we use this study to draw connections to the original mapping.
UR - http://www.aot-math.org/article_41045.html
L1 - http://www.aot-math.org/pdf_41045_27716d12e4fd3af59c801d5f1d0da8bf.html
ER -