3 papers
math.OC2026
Splitting Proximal Point Algorithms for the Sum of Prox-Convex Functions
Jose de Brito, Felipe Lara, Tran Van Thang
This paper addresses the minimization of a finite sum of prox-convex functions under Lipschitz continuity of each component. We propose two variants of the splitting proximal point…
math.OC2025
Optimality Conditions and Duality for Multiobjective Fractional Bilevel Optimization Problems
Felipe Lara, Rishabh Pandey, Vinay Singh
This paper studies a multiobjective bilevel optimization problem where each objective is a fractional function. By reformulating the problem into a single-level one, we establish r…
math.OC2025
Regular Subgradients of Marginal Functions with Applications to Calculus and Bilevel Programming
Le Phuoc Hai, Felipe Lara, Boris S. Mordukhovich
The paper addresses the study and applications of a broad class of extended-real-valued functions, known as optimal value or marginal functions, which are frequently appeared in va…