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

Type
Academic journal
Author
Supansa Noinakorn (Phetchabun Rajabhat University) Abdukarim Hassan Ibrahim (King Mongkut’s University of Technology Thonburi (KMUTT)) Auwal Bala Abubakar (Bayero University Kano Sefako Makgatho Health Sciences University) Nuttapol Pakkaranang (Phetchabun Rajabhat University)
Journal
경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.26 No.4 KCI Accredited Journals
Published
2021.12
Pages
839 - 853 (15page)
DOI
10.22771/nfaa.2021.26.04.11

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

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Let $\mathfrak{R}^n$ be an Euclidean space and $ g: \mathfrak{R}^n \rightarrow \mathfrak{R}^n$ be a monotone and continuous mapping. Suppose the convex constrained nonlinear monotone equation problem $x \in \mathfrak{C} ~\text{s.t} ~ g(x) = 0$ has a solution. In this paper, we construct an inertial-type algorithm based on the three-term derivative-free projection method (TTMDY) for convex constrained monotone nonlinear equations. Under some standard assumptions, we establish its global convergence to a solution of the convex constrained nonlinear monotone equation. Furthermore, the proposed algorithm converges much faster than the existing non-inertial algorithm (TTMDY) for convex constrained monotone equations.
#Iterative method #inertial algorithm #nonlinear equations #derivative-free method #projection method.

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References (34)

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A. B. Abubakar / 2021 / A hybrid fr-dy conjugate gradient algorithm for unconstrained optimization with application in portfolio selection / AIMS Mathematics 6(6):6506~6527 google schola Auwal Bala Abubakar / 2021 / A hybrid conjugate gradient based approach for solving unconstrained optimization and motion control problems / Mathematics and Computers in Simulation Crossref Auwal Bala Abubakar / 2020 / Derivative-free HS-DY-type method for solving nonlinear equations and image restoration / Heliyon 6(11):e05400 Crossref A. B. Abubakar / 2021 / A new three-term hestenes-stiefel type method for nonlinear monotone operator equations and image restoration / IEEE Access 9:18262~18277 google schola A. B. Abubakar / 2021 / Fr-type algorithm for finding approximate solutions to nonlinear monotone operator equations / Arabian J. Math 10:261~270 google schola

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