TY - JOUR
T1 - Viscosity Approximation Method for Solving the Multiple-Set Split Equality Common Fixed-Point Problems for Quasi-pseudocontractive Mappings in Hilbert Spaces
AU - Taiwo, Adeolu
AU - Jolaoso, Lateef Olakunle
AU - Mewomo, Oluwatosin Temitope
N1 - Funding Information:
Acknowledgments. The authors sincerely thank the anonymous reviewers for their careful reading, constructive comments and fruitful suggestions that substantially improved the manuscript. The first author acknowledges with thanks the International Mathematical Union (IMU) Breakout Graduate Fellowship Award for his doctoral study. The second author acknowledges with thanks the bursary and financial support from Department of Science and Technology and National Research Foundation, Republic of South Africa Center of Excellence in Mathematical and Statistical Sciences (DST-NRF COE-MaSS) Doctoral Bursary. The third author is supported by the National Research Foundation (NRF) of South Africa Incentive Funding for Rated Researchers (Grant Number 119903). Opinions expressed and
Publisher Copyright:
© 2021. All rights reserved
PY - 2021/9
Y1 - 2021/9
N2 - We propose a parallel iterative scheme with viscosity approximation method which converges strongly to a solution of the multiple-set split equality common fixed point problem for quasi-pseudocontractive mappings in real Hilbert spaces. We also give an application of our result to approximation of minimization problem from intensity-modulated radiation therapy. Finally, we present numerical examples to demonstrate the behaviour of our algorithm. This result improves and generalizes many existing results in literature in this direction.
AB - We propose a parallel iterative scheme with viscosity approximation method which converges strongly to a solution of the multiple-set split equality common fixed point problem for quasi-pseudocontractive mappings in real Hilbert spaces. We also give an application of our result to approximation of minimization problem from intensity-modulated radiation therapy. Finally, we present numerical examples to demonstrate the behaviour of our algorithm. This result improves and generalizes many existing results in literature in this direction.
KW - Lipschitzian quasi-pseudocontractive mapping
KW - Split equality common fixed point problem
KW - viscosity approximation
UR - http://www.scopus.com/inward/record.url?scp=85108552651&partnerID=8YFLogxK
U2 - 10.3934/jimo.2020092
DO - 10.3934/jimo.2020092
M3 - Article
AN - SCOPUS:85108552651
SN - 1547-5816
VL - 17
SP - 2733
EP - 2759
JO - Journal of Industrial and Management Optimization
JF - Journal of Industrial and Management Optimization
IS - 5
ER -