TY - JOUR
T1 - Inertial accelerated algorithm for fixed point of asymptotically nonexpansive mapping in real uniformly convex banach spaces
AU - Harbau, Murtala Haruna
AU - Ugwunnadi, Godwin Chidi
AU - Jolaoso, Lateef Olakunle
AU - Abdulwahab, Ahmad
N1 - Funding Information:
Funding: This research was funded by Sefako Makgatho Health Sciences University Postdoctoral research fund and the APC was funded by Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Pretoria, South Africa.
Publisher Copyright:
© 2021 by the authors.
PY - 2021/9
Y1 - 2021/9
N2 - In this work, we introduce a new inertial accelerated Mann algorithm for finding a point in the set of fixed points of asymptotically nonexpansive mapping in a real uniformly convex Banach space. We also establish weak and strong convergence theorems of the scheme. Finally, we give a numerical experiment to validate the performance of our algorithm and compare with some existing methods. Our results generalize and improve some recent results in the literature.
AB - In this work, we introduce a new inertial accelerated Mann algorithm for finding a point in the set of fixed points of asymptotically nonexpansive mapping in a real uniformly convex Banach space. We also establish weak and strong convergence theorems of the scheme. Finally, we give a numerical experiment to validate the performance of our algorithm and compare with some existing methods. Our results generalize and improve some recent results in the literature.
KW - Asymptotically nonexpansive
KW - Fixed point
KW - Inertial-accelerated algorithm
KW - Uniformly convex spaces
UR - http://www.scopus.com/inward/record.url?scp=85110883628&partnerID=8YFLogxK
U2 - 10.3390/axioms10030147
DO - 10.3390/axioms10030147
M3 - Article
AN - SCOPUS:85110883628
SN - 2075-1680
VL - 10
JO - Axioms
JF - Axioms
IS - 3
M1 - 147
ER -