Algorithms for zeros of two accretive operators for solving convex minimization problems and its application to image restoration problems

2019 ◽  
Vol 354 ◽  
pp. 471-495 ◽  
Author(s):  
Duangkamon Kitkuan ◽  
Poom Kumam ◽  
Anantachai Padcharoen ◽  
Wiyada Kumam ◽  
Phatiphat Thounthong
Keyword(s):  
Image Restoration ◽  
Convex Minimization ◽  
Accretive Operators ◽  
Minimization Problems ◽  
Convex Minimization Problems

scholarly journals A Fast Fixed-Point Algorithm for Convex Minimization Problems and Its Application in Image Restoration Problems

Mathematics ◽  
2021 ◽  
Vol 9 (20) ◽  
pp. 2619
Author(s):  
Panadda Thongpaen ◽  
Rattanakorn Wattanataweekul
Keyword(s):  
Fixed Point ◽  
Image Restoration ◽  
Nonexpansive Mappings ◽  
Infinite Family ◽  
Convex Minimization ◽  
Fixed Point Algorithm ◽  
Minimization Problems ◽  
Convex Minimization Problems ◽  
Weak Convergence Theorem ◽  
Inertial Technique

In this paper, we introduce a new iterative method using an inertial technique for approximating a common fixed point of an infinite family of nonexpansive mappings in a Hilbert space. The proposed method’s weak convergence theorem was established under some suitable conditions. Furthermore, we applied our main results to solve convex minimization problems and image restoration problems.

scholarly journals A primal-dual dynamical approach to structured convex minimization problems

2020 ◽  
Vol 269 (12) ◽  
pp. 10717-10757 ◽  
Author(s):  
Radu Ioan Boţ ◽  
Ernö Robert Csetnek ◽  
Szilárd Csaba László
Keyword(s):  
Convex Minimization ◽  
Minimization Problems ◽  
Dynamical Approach ◽  
Convex Minimization Problems ◽  
Primal Dual
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