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

页码：3681 / 3694

页数：14

共 29 条

[1] Generalized vector quasi-variational-like inequality problem: a new approach
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Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 3681 - 3694
[2] Generalized vector quasi-variational-like inequalities
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[3] The generalized vector quasi-variational-like inequalities
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[4] Existence of solutions for generalized quasi-variational-like inequalities
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[8] Well-posedness of generalized vector variational inequality problem via topological approach
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[9] New kinds of generalized variational-like inequality problems in topological vector spaces
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[10] A topological approach for vector quasi-variational inequalities with set-valued functions
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