An inertially constructed forward–backward splitting algorithm in Hilbert spaces

In this paper, we develop an iterative algorithm whose architecture comprises a modified version of the forward–backward splitting algorithm and the hybrid shrinking projection algorithm. We provide theoretical results concerning weak and strong convergence of the proposed algorithm towards a common...

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Bibliographic Details
Published in:	Advances in difference equations Vol. 2021; no. 1; pp. 1 - 23
Main Authors:	Arfat, Yasir, Kumam, Poom, Khan, Muhammad Aqeel Ahmad, Ngiamsunthorn, Parinya Sa, Kaewkhao, Attapol
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 24.02.2021 Springer Nature B.V SpringerOpen
Subjects:	Algorithms Analysis Demicontractive operator Difference and Functional Equations Fixed point problem Fixed points (mathematics) Forward–backward splitting algorithm Functional Analysis Hilbert space Hilbert spaces Iterative algorithms Iterative methods Mathematics Mathematics and Statistics Monotone inclusion problem Ordinary Differential Equations Partial Differential Equations Split equilibrium problem Splitting Demicontractive operator Fixed point problem 47H10 65K05 90C25 Split equilibrium problem Monotone inclusion problem Hilbert spaces Forward–backward splitting algorithm 47H05
ISSN:	1687-1847, 1687-1839, 1687-1847
Online Access:	Get full text
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