3 papers
math.OC2025
Radial Epiderivative Based Fritz John and KKT Conditions in Nonsmooth Nonconvex Optimization
Refail Kasimbeyli, Jian-Wen Peng, Jen-Chih Yao
In this study, we examine Fritz John (FJ) and Karush-Kuhn-Tucker (KKT) type optimality conditions for a class of nonsmooth and nonconvex optimization problems with inequality const…
math.OC2023
Two nonmonotone multiobjective memory gradient algorithms
Jian-Wen Peng, Jie-Wen Zhang, Jen-Chih Yao
In this paper, two types of nonmonotone memory gradient algorithm for solving unconstrained multiobjective optimization problems are introduced. Under some suitable conditions, we…
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…