TY - JOUR
T1 - New Modified Implicit Iterative Algorithm for Finite Families of Two Total Asymptotically Pseudocntractive Mappings
TT -
JF - lu-maco
JO - lu-maco
VL - 2
IS - 2
UR - http://maco.lu.ac.ir/article-1-85-en.html
Y1 - 2021
SP - 31
EP - 44
KW - Fixed point
KW - implicit iterative algorithm
KW - strong convergence
KW - Banach space
KW - total asymptotically pseudocontractive mapping
KW - normalized duality mapping.
N2 - In this article, we proposed a modified implicit iterative algorithm for approximation of common fixed point of finite families of two uniformly L-Lipschitzian total asymptotically pseudocontractive mappings in Banach spaces. Our new iterative algorithm contains some well known iterative algorithm which has been used by several authors for approximating fixed points of different classes of mappings. We prove some convergence theorems of our new iterative method and validate our main result with a numerical ex- ample. Our result is an improvement and generalization of the results of some well known authors in the existing literature.
M3 10.52547/maco.2.2.4
ER -