RT - Journal Article
T1 - New Modified Implicit Iterative Algorithm for Finite Families of Two Total Asymptotically Pseudocntractive Mappings
JF - lu-maco
YR - 2021
JO - lu-maco
VO - 2
IS - 2
UR - http://maco.lu.ac.ir/article-1-85-en.html
SP - 31
EP - 44
K1 - Fixed point
K1 - implicit iterative algorithm
K1 - strong convergence
K1 - Banach space
K1 - total asymptotically pseudocontractive mapping
K1 - normalized duality mapping.
AB - 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.
LA eng
UL http://maco.lu.ac.ir/article-1-85-en.html
M3 10.52547/maco.2.2.4
ER -