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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.26 No.4
- 발행연도
- 2021.12
- 수록면
- 839 - 853 (15page)
- DOI
- 10.22771/nfaa.2021.26.04.11
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초록· 키워드
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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.
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참고문헌 (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
Auwal Bala Abubakar / 2021 / A hybrid conjugate gradient based approach for solving unconstrained optimization and motion control problems / Mathematics and Computers in Simulation
Auwal Bala Abubakar / 2020 / Derivative-free HS-DY-type method for solving nonlinear equations and image restoration / Heliyon 6(11):e05400
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
A. B. Abubakar / 2021 / Fr-type algorithm for finding approximate solutions to nonlinear monotone operator equations / Arabian J. Math 10:261~270
Auwal Bala Abubakar / 2021 / A hybrid conjugate gradient based approach for solving unconstrained optimization and motion control problems / Mathematics and Computers in Simulation
Auwal Bala Abubakar / 2020 / Derivative-free HS-DY-type method for solving nonlinear equations and image restoration / Heliyon 6(11):e05400
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
A. B. Abubakar / 2021 / Fr-type algorithm for finding approximate solutions to nonlinear monotone operator equations / Arabian J. Math 10:261~270
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