TY - JOUR
T1 - Three-step iterative algorithm for a pair of total asymptotically nonexpansive mappings in uniformly convex metric spaces
AU - Fukhar-Ud-din, Hafiz
AU - Khan, Safeer H
PY - 2017/1/1
Y1 - 2017/1/1
N2 - We introduce and study a three-step iterative algorithm for a pair of total asymptotically nonexpansive mappings in a uniformly convex metric space. The proposed algorithm includes Mann and Ishikawa iterative algorithms, the iterative algorithm of Khan and Takahashi [13] and the three-step iterative algorithm of Xu and Noor [26] as special cases. Our results are new and generalize several recent results in Hilbert spaces, uniformly convex Banach spaces and CAT (0) spaces, simultaneously.
AB - We introduce and study a three-step iterative algorithm for a pair of total asymptotically nonexpansive mappings in a uniformly convex metric space. The proposed algorithm includes Mann and Ishikawa iterative algorithms, the iterative algorithm of Khan and Takahashi [13] and the three-step iterative algorithm of Xu and Noor [26] as special cases. Our results are new and generalize several recent results in Hilbert spaces, uniformly convex Banach spaces and CAT (0) spaces, simultaneously.
KW - An iterative algorithm
KW - Common fixed point
KW - Convex metric space
KW - Total asymptotically nonexpansive mapping
KW - △-convergence and strong convergence
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85021345514&origin=inward
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85021345514&origin=inward
U2 - 10.2298/FIL1711573F
DO - 10.2298/FIL1711573F
M3 - Article
SN - 0354-5180
VL - 31
SP - 19
EP - 27
JO - Filomat
JF - Filomat
IS - 11
ER -