Existence theorems for relaxed η-α pseudomonotone and strictly η-quasimonotone generalized variational-like inequalities

被引：2
|
作者：
Arunchai, Areerat [1 ]
Plubtieng, Somyot [1 ]
Wen, Ching-Feng [2 ]
机构：
[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand
[2] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 807, Taiwan
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
关键词：
variational-like inequality; generalized variational-like inequality; relaxed eta-alpha pseudomonotone operator; strictly eta-quasimonotone operator; solution existence; COERCIVITY CONDITIONS;
D O I：
10.1186/1029-242X-2014-442
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the existence of solutions for a variational-like inequality and a generalized variational-like inequality in the relaxed eta-alpha pseudomonotone and strictly eta-quasimonotone cases in Banach spaces by using the KKM technique. The results presented in this paper improve and extend some corresponding results of several authors.
引用
收藏
页数：13
相关论文
共 50 条
  • [1] Existence theorems for relaxed η-α pseudomonotone and strictly η-quasimonotone generalized variational-like inequalities
    Areerat Arunchai
    Somyot Plubtieng
    Ching-Feng Wen
    [J]. Journal of Inequalities and Applications, 2014
  • [2] Densely relaxed pseudomonotone and quasimonotone generalized variational-like inequalities
    Sahu, Bijaya K.
    Nguyen, George
    Pany, Gayatri
    Chadli, Ouayl
    [J]. OPTIMIZATION, 2021, 70 (02) : 413 - 435
  • [3] Variational-like inequalities with relaxed η-α pseudomonotone mappings in Banach spaces
    Bai, Min-Ru
    Zhou, Shu-Zi
    Ni, Gu-Yan
    [J]. APPLIED MATHEMATICS LETTERS, 2006, 19 (06) : 547 - 554
  • [4] Relaxed η-α quasimonotone and application to the generalized variational-like inequality problem
    Qiao Chen
    Jie Luo
    [J]. Journal of Inequalities and Applications, 2013
  • [5] Relaxed η-α quasimonotone and application to the generalized variational-like inequality problem
    Chen, Qiao
    Luo, Jie
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [6] On the Vector Variational-like Inequalities with Relaxed eta - alpha Pseudomonotone Mappings
    Pourbarat, Kh.
    Abbasi, M.
    [J]. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2009, 4 (01): : 37 - 42
  • [7] Generalized variational-like inequalities for pseudomonotone type II operators
    Chowdhury, Mohammad S. R.
    Thompson, H. B.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (5-7) : E321 - E330
  • [8] GENERALIZED MIXED VARIATIONAL-LIKE INEQUALITIES WITH COMPOSITELY PSEUDOMONOTONE MULTIFUNCTIONS
    Ceng, L. -C.
    Ansari, Q. H.
    Yao, J. -C.
    [J]. PACIFIC JOURNAL OF OPTIMIZATION, 2009, 5 (03): : 477 - 491
  • [9] EXISTENCE RESULTS FOR GENERALIZED VARIATIONAL-LIKE INEQUALITIES
    Tang, Guo-Ji
    Zhao, Ting
    Huang, Nan-Jing
    [J]. PACIFIC JOURNAL OF OPTIMIZATION, 2020, 16 (01): : 143 - 154
  • [10] The existence theorems of solutions for generalized vector-valued variational-like inequalities
    Chang, SS
    Thompson, HB
    Yuan, GXZ
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 37 (07) : 1 - 9
12345