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 journalArticlepeer-review

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. Further-more, the proposed algorithm converges much faster than the existing non-inertial algorithm(TTMDY) for convex constrained monotone equations

Original languageEnglish
Pages (from-to)839-853
Number of pages15
JournalNonlinear Functional Analysis and Applications
Volume26
Issue number4
DOIs
Publication statusPublished - 2021
Externally publishedYes

Keywords

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

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