On the Holder continuity of solution maps to parametric generalized vector quasi-equilibrium problems via nonlinear scalarization

被引：1
|
作者：
Wangkeeree, Rabian [1 ]
Preechasilp, Pakkapon [2 ]
机构：
[1] Naresuan Univ, Dept Math, Fac Sci, Phitsanulok 65000, Thailand
[2] Pibulsongkram Rajabhat Univ, Program Math, Fac Educ, Phitsanulok 65000, Thailand
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
关键词：
parametric generalized vector quasi-equilibrium problem; solution mapping; Holder continuity; nonlinear scalarization; SENSITIVITY-ANALYSIS; SOLUTION MAPPINGS; LOWER SEMICONTINUITY; UNIQUE SOLUTION; SET; OPTIMIZATION; EXISTENCE; STABILITY;
D O I：
10.1186/1029-242X-2014-425
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by using a nonlinear scalarization technique, we obtain sufficient conditions for Holder continuity of the solution mapping for a parametric generalized vector quasi-equilibrium problem with set-valued mappings. The results are different from the recent ones in the literature.
引用
收藏
页数：19
相关论文
共 50 条
  • [21] Continuity of the solution mapping to parametric generalized vector equilibrium problems
    Chen, Bin
    Huang, Nan-jing
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2013, 56 (04) : 1515 - 1528
  • [22] Continuity of the solution mappings to parametric generalized vector equilibrium problems
    Wangkeeree, Rabian
    Wangkeeree, Rattanaporn
    Preechasilp, Pakkapon
    [J]. APPLIED MATHEMATICS LETTERS, 2014, 29 : 42 - 45
  • [23] Sensitivity analysis of solution mappings of parametric vector quasi-equilibrium problems
    Kenji Kimura
    Jen-Chih Yao
    [J]. Journal of Global Optimization, 2008, 41 : 187 - 202
  • [24] Upper semicontinuity of the solution maps in homogeneous vector quasi-equilibrium problems
    Fang, Ya-Ping
    Huang, Nan-Jing
    [J]. OPTIMIZATION, 2006, 55 (03) : 231 - 239
  • [25] Sensitivity analysis of solution mappings of parametric vector quasi-equilibrium problems
    Kimura, Kenji
    Yao, Jen-Chih
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2008, 41 (02) : 187 - 202
  • [26] Generalized vector quasi-equilibrium problems with applications
    Ansari, QH
    Flores-Bazán, F
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 277 (01) : 246 - 256
  • [27] ON THE SOLUTION EXISTENCE OF GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS WITH DISCONTINUOUS MULTIFUNCTIONS
    Kien, B. T.
    Huy, N. Q.
    Wong, N. C.
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2009, 13 (2B): : 757 - 775
  • [28] On System of Generalized Vector Quasi-equilibrium Problems with Set-valued Maps
    Jian-Wen Peng
    Heung-Wing Joseph Lee
    Xin-Min Yang
    [J]. Journal of Global Optimization, 2006, 36 : 139 - 158
  • [29] On system of generalized vector quasi-equilibrium problems with set-valued maps
    Peng, Jian-Wen
    Lee, Heung-Wing Joseph
    Yang, Xin-Min
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2006, 36 (01) : 139 - 158
  • [30] Continuity of Solution Maps to Parametric Set Optimization Problems via Parametric Equilibrium Problems
    Lam Quoc Anh
    Nguyen Huu Danh
    Tran Ngoc Tam
    [J]. ACTA MATHEMATICA VIETNAMICA, 2020, 45 (02) : 383 - 395
12345