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- W4387452954 abstract "ABSTRACTForward-reflected-backward splitting algorithm with inertial extrapolation of two inertial effects to find a zero of the sum of a maximal monotone and a Lipschitz continuous monotone operator is studied in this paper. The incorporation of two inertial effects on the extrapolation step is to further improve the convergence speed of the forward-reflected-backward splitting algorithm with one inertial effect extrapolation already proposed in the literature. The parameter of the second inertial effect of our proposed algorithm is chosen to be non-positive. Weak, strong, and linear convergence results are obtained under standard conditions in Hilbert spaces. Preliminary numerical illustrations show that our proposed algorithm is competitive with other related algorithms in the literature.KEYWORDS: Forward-reflected-backward splitting algorithmtwo inertial effectsmaximal monotone operatorsweak and strong convergencehilbert spaces2010 MSC CLASSIFICATIONS: 90C2590C3090C6068Q2549M25 Disclosure statementNo potential conflict of interest was reported by the author(s)." @default.
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- W4387452954 date "2023-10-09" @default.
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- W4387452954 title "New accelerated splitting algorithm for monotone inclusion problems" @default.
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- W4387452954 doi "https://doi.org/10.1080/02331934.2023.2267065" @default.
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