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 - 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 -