TY - JOUR
T1 - Iterative approximation of common attractive points of further generalized hybrid mappings
AU - Khan, Safeer H
PY - 2018/12/1
Y1 - 2018/12/1
N2 - Our purpose in this paper is (i) to introduce the concept of further generalized hybrid mappings, (ii) to introduce the concept of common attractive points (CAP), and (iii) to write and use Picard-Mann iterative process for two mappings. We approximate common attractive points of further generalized hybrid mappings by using iterative process due to Khan (Fixed Point Theory Appl. 2013:69, 2013, https://doi.org/10.1186/1687-1812-2013-69) generalized to the case of two mappings in Hilbert spaces without closedness assumption. Our results are generalizations and improvements of several results in the literature in different ways.
AB - Our purpose in this paper is (i) to introduce the concept of further generalized hybrid mappings, (ii) to introduce the concept of common attractive points (CAP), and (iii) to write and use Picard-Mann iterative process for two mappings. We approximate common attractive points of further generalized hybrid mappings by using iterative process due to Khan (Fixed Point Theory Appl. 2013:69, 2013, https://doi.org/10.1186/1687-1812-2013-69) generalized to the case of two mappings in Hilbert spaces without closedness assumption. Our results are generalizations and improvements of several results in the literature in different ways.
KW - Common attractive points
KW - Further generalized hybrid mappings
KW - Weak convergence
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85042905640&origin=inward
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85042905640&origin=inward
U2 - 10.1186/s13663-018-0633-4
DO - 10.1186/s13663-018-0633-4
M3 - Article
SN - 1687-1820
VL - 2018
JO - Fixed Point Theory and Applications
JF - Fixed Point Theory and Applications
IS - 1
M1 - 8
ER -