Mathematical Analysis and Convex Optimization
آنالیز ریاضی و بهینه سازی محدب
MACO
Basic Sciences
http://maco.lu.ac.ir
1
admin
2717-0624
2717-0624
8
10.29252/maco
14
8888
13
en
jalali
1400
9
1
gregorian
2021
12
1
2
2
online
1
fulltext
en
New Modified Implicit Iterative Algorithm for Finite Families of Two Total Asymptotically Pseudocntractive Mappings
Mathematical Analysis
پژوهشي
Research Article
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<br>
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-<br>
ample. Our result is an improvement and generalization of the results of some well known authors in the existing literature.
Fixed point, implicit iterative algorithm, strong convergence, Banach space, total asymptotically pseudocontractive mapping, normalized duality mapping.
31
44
http://maco.lu.ac.ir/browse.php?a_code=A-10-100-1&slc_lang=en&sid=1
Austine
Ofem
ofemaustine@gmail.com
`1003194753284600932`

1003194753284600932
Yes
University of Uyo, Uyo, Nigeria
Donatus
Igbokwe
donatusigbokewdi@gmail.com
`1003194753284600933`

1003194753284600933
No
Michael Okpara University of Agriculture, Umudike, Nigeria.