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 - 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 -