TY - JOUR
T1 - A THREE-TERM INERTIAL DERIVATIVE-FREE PROJECTION METHOD FOR CONVEX CONSTRAINED MONOTONE EQUATIONS
AU - Noinakorn, Supansa
AU - Ibrahim, Abdukarim Hassan
AU - Abubakar, Auwal Bala
AU - Pakkaranang, Nuttapol
N1 - Funding Information:
The first and fourth authors would like to thank Phetchabun Rajabhat University. The third author acknowledge with thanks, the Department of Mathematics and Applied Mathematics at the Sefako Makgatho Health Sciences University
Publisher Copyright:
© 2021. Kyungnam University Press
PY - 2021
Y1 - 2021
N2 - Let Rn be an Euclidean space and g: Rn → Rn be a monotone and con-tinuous mapping. Suppose the convex constrained nonlinear monotone equation problemx ∈ C s.t g(x) = 0 has a solution. In this paper, we construct an inertial-type algorithmbased on the three-term derivative-free projection method (TTMDY) for convex constrainedmonotone nonlinear equations. Under some standard assumptions, we establish its globalconvergence to a solution of the convex constrained nonlinear monotone equation.
AB - Let Rn be an Euclidean space and g: Rn → Rn be a monotone and con-tinuous mapping. Suppose the convex constrained nonlinear monotone equation problemx ∈ C s.t g(x) = 0 has a solution. In this paper, we construct an inertial-type algorithmbased on the three-term derivative-free projection method (TTMDY) for convex constrainedmonotone nonlinear equations. Under some standard assumptions, we establish its globalconvergence to a solution of the convex constrained nonlinear monotone equation.
KW - Derivative-free method
KW - Inertial algorithm
KW - Iterative method
KW - Nonlinear equations
KW - Projection method
UR - http://www.scopus.com/inward/record.url?scp=85122970785&partnerID=8YFLogxK
U2 - 10.22771/nfaa.2021.26.04.11
DO - 10.22771/nfaa.2021.26.04.11
M3 - Article
AN - SCOPUS:85122970785
SN - 1229-1595
VL - 26
SP - 839
EP - 853
JO - Nonlinear Functional Analysis and Applications
JF - Nonlinear Functional Analysis and Applications
IS - 4
ER -