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 - 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 -