TY - JOUR
T1 - Approximating a common fixed point of a finite family of nonlinear mappings in modular function spaces
AU - Wega, Getahun Bekele
AU - Zegeye, Habtu
N1 - Publisher Copyright:
© 2019, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional.
PY - 2019/9/1
Y1 - 2019/9/1
N2 - In this study, it is our purpose to investigate an algorithm for approximating a common fixed point of a finite family of ρ-quasi-nonexpansive mappings. In addition, we propose and analyze a scheme which estimates a common fixed point of a finite family of multivalued mappings in modular function spaces. As a consequence, we establish the ρ-convergence of the proposed algorithms under some mild conditions. In addition, some numerical examples which support our main results are presented. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.
AB - In this study, it is our purpose to investigate an algorithm for approximating a common fixed point of a finite family of ρ-quasi-nonexpansive mappings. In addition, we propose and analyze a scheme which estimates a common fixed point of a finite family of multivalued mappings in modular function spaces. As a consequence, we establish the ρ-convergence of the proposed algorithms under some mild conditions. In addition, some numerical examples which support our main results are presented. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.
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U2 - 10.1007/s40314-019-0863-z
DO - 10.1007/s40314-019-0863-z
M3 - Article
AN - SCOPUS:85065907384
SN - 2238-3603
VL - 38
JO - Computational and Applied Mathematics
JF - Computational and Applied Mathematics
IS - 3
M1 - 99
ER -