New inertial forward–backward algorithm for convex minimization with applications
In this work, we present a new proximal gradient algorithm based on Tseng’s extragradient method and an inertial technique to solve the convex minimization problem in real Hilbert spaces. Using the stepsize rules, the selection of the Lipschitz constant of the gradient of functions is avoided. We th...
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| Vydáno v: | Demonstratio mathematica Ročník 56; číslo 1; s. 1168 - 1200 |
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| Jazyk: | angličtina |
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De Gruyter
15.02.2023
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| ISSN: | 2391-4661, 2391-4661 |
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| Abstract | In this work, we present a new proximal gradient algorithm based on Tseng’s extragradient method and an inertial technique to solve the convex minimization problem in real Hilbert spaces. Using the stepsize rules, the selection of the Lipschitz constant of the gradient of functions is avoided. We then prove the weak convergence theorem and present the numerical experiments for image recovery. The comparative results show that the proposed algorithm has better efficiency than other methods. |
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| AbstractList | In this work, we present a new proximal gradient algorithm based on Tseng’s extragradient method and an inertial technique to solve the convex minimization problem in real Hilbert spaces. Using the stepsize rules, the selection of the Lipschitz constant of the gradient of functions is avoided. We then prove the weak convergence theorem and present the numerical experiments for image recovery. The comparative results show that the proposed algorithm has better efficiency than other methods. |
| Author | Kankam, Kunrada Cholamjiak, Watcharaporn Cholamjiak, Prasit |
| Author_xml | – sequence: 1 givenname: Kunrada surname: Kankam fullname: Kankam, Kunrada email: kunradazzz@gmail.com organization: School of Science, University of Phayao, Phayao 56000, Thailand – sequence: 2 givenname: Watcharaporn surname: Cholamjiak fullname: Cholamjiak, Watcharaporn email: c-wchp007@hotmail.com organization: School of Science, University of Phayao, Phayao 56000, Thailand – sequence: 3 givenname: Prasit surname: Cholamjiak fullname: Cholamjiak, Prasit email: prasitch2008@yahoo.com organization: School of Science, University of Phayao, Phayao 56000, Thailand |
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