CONTINUOUS SOLUTIONS OF PARAMETRIC COMPLETELY GENERALIZED MIXED IMPLICIT QUASI-VARIATIONAL INCLUSIONS

被引：0

作者：

Qiu, Yangqing ^{[1
]}

Li, Nan ^{[1
]}

Liu, Liwei ^{[2
]}

机构：

[1] Shanghai Polytech Univ, Sch Math Phys & Stat, Shanghai 201209, Peoples R China

[2] Nanchang Univ, Dept Math, Nanchang 330000, Peoples R China

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2023年 / 85卷 / 03期

关键词：

Parametric completely generalized mixed implicit quasi-variationalinclusion; Continuous solutions Continuous selections of set-valued mappings; Sensitivity analysis; Resolvent operator; SENSITIVITY-ANALYSIS; INEQUALITIES; OPERATOR; ETA;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the selection technique of set-valued mappings, under suitable conditions, we prove that the solution set of the parametric completely generalized mixed implicit quasi-variational inclusion problem (PCGMIQVIP) involving set-valued mappings is nonempty closed convex, and the PCGMIQVIP has continuous solutions with respect to the parameters. Our results are supplement and complement for many known results in this field.

引用

页码：63 / 72

页数：10

共 17 条

[1]

Adly S., 2020, MATH PROGRAM, V2

[2] SENSITIVITY ANALYSIS OF VARIATIONAL INEQUALITIES VIA TWICE EPI-DIFFERENTIABILITY AND PROTO-DIFFERENTIABILITY OF THE PROXIMITY OPERATOR [J].

Adly, Samir ;

Bourdin, Loic .

SIAM JOURNAL ON OPTIMIZATION, 2018, 28 (02) :1699-1725

[3]

Aubin J.P., 1990, Set-valued analysis, DOI 10.1007/978-0-8176-4848-0

[4]

Aubin J.-P., 2012, Differential Inclusions: Set-Valued Maps and Viability Theory, V264

[5] Sensitivity analysis for a system of parametric generalized mixed quasi-variational inclusions involving (K, η)-monotone mappings [J].

Ding, Xie Ping ;

Wang, Zhong Bao .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 214 (01) :318-327

[6] Parametric completely generalized mixed implicit quasi-variational inclusions involving h-maximal monotone mappings [J].

Ding, XP .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 182 (02) :252-269

[7] Sensitivity analysis for generalized nonlinear implicit quasi-variational inclusions [J].

Ding, XP .

APPLIED MATHEMATICS LETTERS, 2004, 17 (02) :225-235

[8] Sensitivity analysis for nonlinear generalized mixed implicit equilibrium problems with non-monotone set-valued mappings [J].

Huang, Nan-Jing ;

Lan, Heng-you ;

Cho, Yeol Je .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 196 (02) :608-618

[9] Sensitivity analysis for parametric generalized implicit quasi-variational-like inclusions involving P-η-accretive mappings [J].

Kazmi, K. R. ;

Khan, F. A. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (02) :1198-1210

[10] Mixed Variational-like Inclusion Involving Yosida Approximation Operator in Banach Spaces [J].

Khan, Faizan Ahmad ;

Iqbal, Mohd ;

Ram, Tirth ;

Mohammed, Hamid I. A. .

MATHEMATICS, 2022, 10 (21)

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