A THREE-TERM INERTIAL DERIVATIVE-FREE PROJECTION METHOD FOR CONVEX CONSTRAINED MONOTONE EQUATIONS

Supansa Noinakorn; Abdukarim Hassan Ibrahim; Auwal Bala Abubakar; Nuttapol Pakkaranang

doi:10.22771/nfaa.2021.26.04.11

A THREE-TERM INERTIAL DERIVATIVE-FREE PROJECTION METHOD FOR CONVEX CONSTRAINED MONOTONE EQUATIONS

Supansa Noinakorn, Abdukarim Hassan Ibrahim, Auwal Bala Abubakar, Nuttapol Pakkaranang^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	839-853
Number of pages	15
Journal	Nonlinear Functional Analysis and Applications
Volume	26
Issue number	4
DOIs	https://doi.org/10.22771/nfaa.2021.26.04.11
Publication status	Published - 2021
Externally published	Yes

Keywords

Derivative-free method
Inertial algorithm
Iterative method
Nonlinear equations
Projection method

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10.22771/nfaa.2021.26.04.11

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title = "A THREE-TERM INERTIAL DERIVATIVE-FREE PROJECTION METHOD FOR CONVEX CONSTRAINED MONOTONE EQUATIONS",

abstract = "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.",

keywords = "Derivative-free method, Inertial algorithm, Iterative method, Nonlinear equations, Projection method",

author = "Supansa Noinakorn and Ibrahim, \{Abdukarim Hassan\} and Abubakar, \{Auwal Bala\} and Nuttapol Pakkaranang",

note = "Publisher Copyright: {\textcopyright} 2021. Kyungnam University Press",

year = "2021",

doi = "10.22771/nfaa.2021.26.04.11",

language = "English",

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journal = "Nonlinear Functional Analysis and Applications",

issn = "1229-1595",

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AU - Noinakorn, Supansa

AU - Ibrahim, Abdukarim Hassan

AU - Abubakar, Auwal Bala

AU - Pakkaranang, Nuttapol

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 - https://www.scopus.com/pages/publications/85122970785

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 -

A THREE-TERM INERTIAL DERIVATIVE-FREE PROJECTION METHOD FOR CONVEX CONSTRAINED MONOTONE EQUATIONS

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Keywords

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