activity
20162024
most citedOn Error Bounds of Inequalities in Asplund Spaces

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

math.OC2024

New Douglas-Rashford Splitting Algorithms for Generalized DC Programming with Applications in Machine Learning

Yonghong Yao, Lateef O. Jolaoso, Yekini Shehu +1

In this work, we propose some new Douglas-Rashford splitting algorithms for solving a class of generalized DC (difference of convex functions) in real Hilbert spaces. The proposed…

math.OC2024

Second-Order Strong Optimality and Second-Order Duality for Nonsmooth Constrained Multiobjective Fractional Programming Problems

Jiawei Chen, Luyu Liu, Yibing Lv +2

This paper investigates constrained nonsmooth multiobjective fractional programming problem (NMFP) in real Banach spaces. It derives a quotient calculus rule for computing the firs…

math.OC20231 cited

On Error Bounds of Inequalities in Asplund Spaces

Zhou Wei, Michel Théra, Jen-Chih Yao

Error bounds are central objects in optimization theory and its applications. They were for a long time restricted only to the theory before becoming over the course of time a fiel…

math.OC2023

The Quasi-Newton Method for the Composite Multiobjective Optimization Problems

Jian-Wen Peng, Jen-Chih Yao

In this paper, we introduce several new quasi-Newton methods for the composite multiobjective optimization problems (in short, CMOP) with Armijo line search. These multiobjective v…

math.OC2023

On new generalized differentials with respect to a set and their applications

Xiaolong Qin, Vo Duc Thinh, Jen-Chih Yao

The notions and certain fundamental characteristics of the proximal and limiting normal cones with respect to a set are first presented in this paper. We present the ideas of the l…

math.OC2023

Primal Characterizations of Stability of Error Bounds for Semi-infinite Convex Constraint Systems in Banach Spaces

Zhou Wei, Michel Théra, Jen-Chih Yao

This article is devoted to the stability of error bounds (local and global) for semi-infinite convex constraint systems in Banach spaces. We provide primal characterizations of the…