R-Continuity with Applications to Convergence Analysis of Tikhonov Regularization and DC Programming
Journal of convex analysis, Tome 31 (2024) no. 1, pp. 243-254
We study the convergence analysis of Tikhonov regularization in finding a zero of a maximal monotone operator using the notion of R-continuity. Applications to convex minimization and DC programming are provided.
Classification :
47N10, 90C26, 90C06
Mots-clés : Convex programming, maximal monotone operators, proximal point algorithm, regularization, DC programming
Mots-clés : Convex programming, maximal monotone operators, proximal point algorithm, regularization, DC programming
@article{JCA_2024_31_1_JCA_2024_31_1_a13,
author = {B. K. Le},
title = {R-Continuity with {Applications} to {Convergence} {Analysis} of {Tikhonov} {Regularization} and {DC} {Programming}},
journal = {Journal of convex analysis},
pages = {243--254},
year = {2024},
volume = {31},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JCA_2024_31_1_JCA_2024_31_1_a13/}
}
TY - JOUR AU - B. K. Le TI - R-Continuity with Applications to Convergence Analysis of Tikhonov Regularization and DC Programming JO - Journal of convex analysis PY - 2024 SP - 243 EP - 254 VL - 31 IS - 1 UR - http://geodesic.mathdoc.fr/item/JCA_2024_31_1_JCA_2024_31_1_a13/ ID - JCA_2024_31_1_JCA_2024_31_1_a13 ER -
B. K. Le. R-Continuity with Applications to Convergence Analysis of Tikhonov Regularization and DC Programming. Journal of convex analysis, Tome 31 (2024) no. 1, pp. 243-254. http://geodesic.mathdoc.fr/item/JCA_2024_31_1_JCA_2024_31_1_a13/