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Journal of Convex Analysis 31 (2024), No. 1, 243--254
Copyright Heldermann Verlag 2024

R-Continuity with Applications to Convergence Analysis of Tikhonov Regularization and DC Programming

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

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.

Keywords: Convex programming, maximal monotone operators, proximal point algorithm, regularization, DC programming.

MSC: 47N10, 90C26, 90C06.

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