Explanipedia

Variable Smoothing Alternating Proximal Gradient Algorithm for Coupled Composite Optimization Open

Xian-Jun Long, Kai Zeng, Gao-Xi Li, Minh N. Dao, Zai-Yun Peng · 2025

In this paper, we consider a broad class of nonconvex and nonsmooth optimization problems, where one objective component is a nonsmooth weakly convex function composed with a linear operator. By integrating variable smoothing techniques wi…

Nonlinear Conjugate Gradient Methods for Optimization of Set-Valued Mappings of Finite Cardinality Open

Debdas Ghosh, Ravi Raushan, Zai-Yun Peng, Jen‐Chih Yao · 2024

This article presents nonlinear conjugate gradient methods for finding local weakly minimal points of set-valued optimization problems under a lower set less ordering relation. The set-valued objective function of the optimization problem …

Painlevé–Kuratowski Stability of Approximate Solution Sets for Perturbed Set Optimization Problems Under General Ordering Sets by Recession Cone Open

Zai-Yun Peng, Chong-Yang Shao, Yué Zeng, Yi‐bin Xiao · 2024

The aim of this paper is to study the stability of perturbed set optimization problems via general ordering sets. Firstly, for a set optimization problem (SOP) via general ordering sets, four kinds of concepts about the minimal solutions o…

Continuity of the solution set mappings to parametric unified weak vector equilibrium problems <i>via</i> free-disposal sets Open

Daqiong Zhou, Zai-Yun Peng, Zhi Lin, Jingjing Wang · 2024

In this paper, the lower and upper semicontinuity of the solution mappings for parametric unified weak vector equilibrium problem (PUWVEP) are established, via free-disposal set and non-linear scalarization function. Moreover, example is g…

Algorithms for the Pareto solution of the multicriteria traffic equilibrium problem with capacity constraints of arcs Open

Zhi Lin, Zai-Yun Peng · 2022

We focus on the multicriteria traffic equilibrium problem with capacity constraints of arcs. First, we generalize Beckmann's formula to deal with multicriteria traffic equilibrium problems with capacity constraints of arcs and prove that t…

A Double Projection Algorithm for Solving Non-Monotone Variational Inequalities Open

WANG Xiaoting, LONG Xianjun, Zai-Yun Peng · 2022

The projection algorithm is one of the main methods to solve variational inequality problems. At present, the research on projection algorithms usually requires the assumption that the mapping is monotone and Lipschitz continuous, but in p…

Stability on parametric strong symmetric quasi-equilibrium problems via nonlinear scalarization Open

Zai-Yun Peng, Jingjing Wang, Yong Zhao, Renli Liang · 2022

This paper focuses on the stability analysis of a class of parametric strong symmetric quasiequilibrium problems (PSSQEP) via scalarization approaches.Based on the oriented distance function, a new nonlinear scalarization function which ca…

考虑背景风险和流动性的模糊投资组合模型 Open

龙宪军宋慧慧, SONG Huihui, LONG Xianjun, HE Guang, Zai-Yun Peng · 2021

With the 2nd moment of the investment return as the risk measurement function, a fuzzy portfolio model with the background risk and liquidity considered was established. The 2nd moment of the investment return was minimized under the const…

Stability of Vector Optimization Problems Under Approximate Equilibrium Constraints via Free-Disposal Sets Open

ZENG Yue, Zai-Yun Peng, Renli Liang, SHAO Chongyang · 2021

The stability of vector optimization problems under approximate equilibrium constraints (AOPVF) via free-disposal sets was discussed. Firstly, the Berge-semicontinuity of the constraint set mapping and the closedness, the convexity and the…

On the stability of solutions for the generalized vector quasi-equilibrium problems via free-disposal set Open

Jingjing Wang, Zai-Yun Peng, Zhi Lin, Daqiong Zhou · 2020

In this paper, we mainly discuss the stability of generalized vector quasi-equilibrium problems (GVQEPs) where the ordering relations are defined by free-disposal set. Firstly, by virtue of the oriented distance function , gap functions fo…

改进集映射下参数广义向量拟平衡问题解映射的Berge下半连续性 Open

彭再云邵重阳, SHAO Chongyang, Zai-Yun Peng, LIU Fuping, Wang Jingjing · 2020

参数广义弱向量拟平衡问题解映射的H-连续性刻画 Open

彭再云邵重阳, SHAO Chongyang, Zai-Yun Peng, Wang Jingjing, ZHOU Daqiong · 2019

Semi-prequasi-invex type multiobjective optimization and generalized fractional programming problems Open

Zai-Yun Peng, Keke Li, Jianting Zhou · 2016

In this paper, we mainly discuss some applications of semi-prequasi-invex type functions for multiobjective optimization and generalized nonlinear programming problems.Some optimality results for semiprequasi-invex type multiobjective opti…

Existence of solutions and Hadamard well-posedness for generalized strong vector quasi-equilibrium problems Open

Jing Zeng, Zai-Yun Peng, Xiangkai Sun, Xian-Jun Long · 2016

In this paper, we establish an existence result for the (GSVQEP) without assuming that the dual of the ordering cone has a weak star compact base and give an example to show our existence theorem is different from the main result of Long e…

Stability of Efficient Solutions for Semi-infinite Vector Optimization Problems Open

Zai-Yun Peng, Jianting Zhou · 2016

This paper is devoted to the study of the stability of efficient solutions for semi-infinite vector optimization problems (SIO).We first obtain the closedness, Berge-lower semicontinuity and Painlevé-Kuratowski convergence of constraint se…

Levitin-Polyak well-posedness for generalized semi-infinite multiobjective programming problems Open

Xian-Jun Long, Zai-Yun Peng, Xiangkai Sun · 2016

Beckmann's formula for multiclass traffic equilibrium problems Open

Zhi Lin, Zai-Yun Peng · 2015

In this paper, we introduce the multiclass trac equilibrium problem which includes the trac equilibrium problem as a special case, and extend Beckmann’s formula to the case of multiclass trac equilibrium problems. By an example, we illustr…

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