New viscosity-projection methods for solving variational inquality problems with applications to image restoration problems

This research investigates two new viscosity-projection methods for solving variational inquality problems (VIPs) with applications to image restoration problems via approximation projection in a real Hilbert space. We design the viscosity Mann-type iteration progress accelerated approximation proje...

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Vydáno v:Communications in nonlinear science & numerical simulation Ročník 152; s. 109179
Hlavní autoři: Trang, C.T.T., Tu, H.P., Anh, P.N.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 01.01.2026
Témata:
Image restoration
Projection
Pseudomonotone
Variational inequality problem
Viscosity
49J35
Viscosity
47J20
90C25
Variational inequality problem
65K10
Projection
Image restoration
47J25
Pseudomonotone
91B50
ISSN:1007-5704
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Shrnutí:This research investigates two new viscosity-projection methods for solving variational inquality problems (VIPs) with applications to image restoration problems via approximation projection in a real Hilbert space. We design the viscosity Mann-type iteration progress accelerated approximation projection rule to solve the pseudomonotone VIPs. Then, we present two strongly convergent algorithms that can be easily implemented, as examples for solving image restoration problems. Numerical experiments illustrate and compare the performances of the proposed algorithms with three other well-known algorithms.
ISSN:1007-5704
DOI:10.1016/j.cnsns.2025.109179