Generalized vector quasi-variational-like inequality problem: a new approach

被引：0
|
作者：
Sonia [1 ]
Sarma, Ratna Dev [2 ]
机构：
[1] Univ Delhi, Janki Devi Mem Coll, Dept Math, Sir Ganga Ram Hosp Marg, New Delhi 110060, India
[2] Univ Delhi, Rajdhani Coll, Dept Math, Mahatma Gandhi Marg, Delhi 110015, India
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 07期
关键词：
Generalized vector quasi-variational inequality; Fan-KKM lemma; Admissibility; Set-valued mapping; Topological vector space; EXISTENCE THEOREMS; LEMMA;
D O I：
10.1007/s12215-022-00854-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we are devoted to investigating the existence of the Generalized Vector Quasi-Variational-Like Inequality Problem by using a new approach. Here we use admissibility of the function space topology and convergence of nets to establish the required existence results. We also introduce the concept of adic maps. Moreover, we provide an example to show that our solutions are independent of the solutions available in the literature.
引用
收藏
页码：3681 / 3694
页数：14
相关论文
共 50 条
  • [31] On the generalized vector variational inequality problem
    Konnov, IV
    Yao, JC
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 206 (01) : 42 - 58
  • [32] Existence of Solutions to Generalized Vector Quasi-variational-like Inequalities with Set-valued Mappings
    GAO DA-PENG
    FENG SHI-QIANG
    Communications in Mathematical Research, 2014, 30 (01) : 90 - 96
  • [33] A Note on the Generalized Nonlinear Vector Variational-Like Inequality Problem
    Gupta, Ankit
    Kumar, Satish
    Sarma, Ratna Dev
    Garg, Pankaj Kumar
    George, Reny
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [34] Existence of solutions for generalized nonlinear vector quasi-variational-like inequalities with set-valued mappings
    Husain, Shamshad
    Gupta, Sanjeev
    FILOMAT, 2012, 26 (05) : 909 - 916
  • [35] THE GENERALIZED QUASI-VARIATIONAL INEQUALITY PROBLEM
    CHAN, D
    PANG, JS
    MATHEMATICS OF OPERATIONS RESEARCH, 1982, 7 (02) : 211 - 222
  • [36] DISCONTINUOUS QUASI-VARIATIONAL-LIKE INEQUALITIES
    CUBIOTTI, P
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1995, 29 (12) : 9 - 12
  • [37] EXISTENCE AND ALGORITHM OF SOLUTIONS FOR GENERALIZED MIXED QUASI-VARIATIONAL-LIKE INEQUALITIES
    Liu, Zeqing
    Guan, Hongyan
    Shim, Soo Hak
    Kang, Shin Min
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2005, 20 (04): : 709 - 721
  • [38] AN EXTENSION OF GENERALIZED VECTOR QUASI-VARIATIONAL INEQUALITY
    Kum, Sangho
    Kim, Won Kyu
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2006, 21 (02): : 273 - 285
  • [39] Nonsmooth Quasi-Variational-like Inequalities with Applications to Nonsmooth Vector Quasi-Optimization
    Alshahrani, Mohammed
    FILOMAT, 2017, 31 (03) : 649 - 662
  • [40] Generalized Vector Mixed Variational-Like Inequality Problem Without Monotonicity
    Khan, Suhel Ahmad
    Khan, Qamrul Haque
    Suhel, Farhat
    THAI JOURNAL OF MATHEMATICS, 2012, 10 (02): : 245 - 258
12345