Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems

被引：6

作者：

Wu, Xin-kun ^{[1
]}

Chen, Jia-wei ^{[2
]}

Zou, Yun-zhi ^{[1
]}

机构：

[1] Sichuan Univ, Coll Math, Chengdu 610064, Sichuan, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2011年

基金：

中国国家自然科学基金;

关键词：

VECTOR; EXISTENCE;

D O I：

10.1155/2011/647489

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nondifferentiable multiobjective optimization problem with nonempty set constraints is considered, and the equivalence of weakly efficient solutions, the critical points for the nondifferentiable multiobjective optimization problems, and solutions for vector variational-like inequalities is established under some suitable conditions. Nonemptiness and compactness of the solutions set for the nondifferentiable multiobjective optimization problems are proved by using the FKKM theorem and a fixed-point theorem.

引用

页数：16

共 50 条

[21] Global convergence of a BFGS-type algorithm for nonconvex multiobjective optimization problems
Prudente, L. F.
Souza, D. R.
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2024, 88 (03) : 719 - 757
[22] ESSENTIAL SOLUTIONS OF PARAMETRIC VECTOR OPTIMIZATION PROBLEMS
Fan, Xiaodong
Cheng, Caozong
Wang, Haijun
PACIFIC JOURNAL OF OPTIMIZATION, 2013, 9 (03): : 413 - 425
[23] Convergence analysis of Tikhonov-type regularization algorithms for multiobjective optimization problems
Chen, Zhe
Xiang, Changhe
Zhao, Kequan
Liu, Xuewen
APPLIED MATHEMATICS AND COMPUTATION, 2009, 211 (01) : 167 - 172
[24] On the stability of approximate solutions to set-valued equilibrium problems
Lam Quoc Anh
Pham Thanh Duoc
Tran Ngoc Tam
OPTIMIZATION, 2020, 69 (7-8) : 1583 - 1599
[25] Epidifferentiability and hypodifferentiability of pseudoconvex maps in set-optimization problems
Rodriguez-Marin, Luis
Sama, Miguel
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 321 - 331
[26] On the sensitivity of Pareto efficiency in set-valued optimization problems
Durea, Marius
Strugariu, Radu
JOURNAL OF GLOBAL OPTIMIZATION, 2020, 78 (03) : 581 - 596
[27] Continuity of Solution Maps to Parametric Set Optimization Problems via Parametric Equilibrium Problems
Lam Quoc Anh
Nguyen Huu Danh
Tran Ngoc Tam
ACTA MATHEMATICA VIETNAMICA, 2020, 45 (02) : 383 - 395
[28] Set optimization problems of generalized semi-continuous set-valued maps with applications
Zhang, Chuang-liang
Huang, Nan-jing
POSITIVITY, 2021, 25 (02) : 353 - 367
[29] Stability of the set of solutions for generalized vector equilibrium problems with cone constraints
Han, Yu
Huang, Nan-jing
OPTIMIZATION, 2022, 71 (09) : 2491 - 2517
[30] Conjugate dual problems in constrained set-valued optimization and applications
Li, S. J.
Chen, C. R.
Wu, S. Y.
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2009, 196 (01) : 21 - 32

← 1 2 3 4 5 →