Double inertial subgradient extragradient algorithm for solving equilibrium problems and common fixed point problems with application to image restoration

This paper presents a double inertial method for solving equilibrium problems and common fixed point problems in Hilbert spaces. On the basis of the subgradient extragradient method, we modify the self adaptive rule and use an additional parameter to select appropriate step size. Under reasonable as...

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Vydáno v:Journal of computational and applied mathematics Ročník 460; s. 116396
Hlavní autoři: Cholamjiak, Prasit, Xie, Zhongbing, Li, Min, Paimsang, Papinwich
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 01.05.2025
Témata:
Equilibrium problem
Fixed point
Inertial method
Linear convergence
Weak convergence
Weak convergence
65K15
Linear convergence
Equilibrium problem
90C33
47H09
Inertial method
47J25
Fixed point
ISSN:0377-0427
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Shrnutí:This paper presents a double inertial method for solving equilibrium problems and common fixed point problems in Hilbert spaces. On the basis of the subgradient extragradient method, we modify the self adaptive rule and use an additional parameter to select appropriate step size. Under reasonable assumptions, we establish both weak and linear convergence properties for the proposed algorithm. Finally, numerical experiments are conducted to validate the rationality and effectiveness of the proposed method over the existing ones in the literature.
ISSN:0377-0427
DOI:10.1016/j.cam.2024.116396