Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

Ba Khiet Le

Optimization Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

lebakhiet@tdtu.edu.vn

Keywords

  • Convex programming
  • maximal monotone operators
  • proximal point algorithm
  • regularization
  • DC programming

Mathematics Subject Classification

47N10, 90C26, 90C06

Suggested citation

B. K. Le. “R-Continuity with Applications to Convergence Analysis of Tikhonov Regularization and DC Programming.” Journal of Convex Analysis 31 (2024), No. 1, 243–254.

Copyright Heldermann Verlag 2024