4 papers
Monotonicity of Pairs of Operators and Generalized Inertial Proximal Method
Ba Khiet Le, Zakaria Mazgouri, Michel Théra
Monotonicity of pairs of operators is an extension of monotonicity of operators, which plays an important role in solving non-monotone inclusions. One of challenging problems in th…
Compact R-Continuity with Applications to Solving Inclusions and Convergence of Algorithms
Ba Khiet Le, Boris S. Mordukhovich, Michel A. Thera
This paper investigates the notion of compact R-continuity and its specifications for set-valued mappings between Banach spaces. We reveal several important properties of compact R…
Solving Non-Monotone Inclusions Using Monotonicity of Pairs of Operators
Ba Khiet Le, Minh N. Dao, Michel Théra
In this paper, under the monotonicity of pairs of operators, we propose some Generalized Proximal Point Algorithms to solve non-monotone inclusions using warped resolvents and tran…
R-Continuity with Applications to Convergence Analysis of Tikhonov Regularization and DC Programming
Ba Khiet Le
In the paper, 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…