An existence principle for variational inequalities in Banach spaces

被引：0

作者：

D. Ariza-Ruiz

J. Garcia-Falset

J. Villada-Bedoya

机构：

[1] Universidad de Sevilla,Departamento de Análisis Matemático

[2] Universitat de València,Departament d’Anàlisi Matemàtica

[3] Centro de investigación en Matemáticas (CIMAT),Departamento de Matemáticas Básicas

来源：

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2020年 / 114卷

关键词：

Variational inequalities; Accretive operators; Fixed points; Zeroes of an operator; 49J40; 47H06; 47H10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The present article deals with existence and uniqueness results for a variational inequality posed on a real smooth Banach space. This allows us to generalize the known results of this type given in Hilbert spaces.

引用

共 50 条

[1] An existence principle for variational inequalities in Banach spaces
Ariza-Ruiz, D.
Garcia-Falset, J.
Villada-Bedoya, J.
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (01)
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J. C. Yao
[J]. Journal of Optimization Theory and Applications, 2007, 132 : 321 - 337
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[J]. Journal of Fixed Point Theory and Applications, 2018, 20
[8] ON THE EXISTENCE OF SOLUTIONS OF VARIATIONAL INEQUALITIES IN NONREFLEXIVE BANACH SPACES
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[J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2019, 13 (02): : 293 - 313
[9] Existence of solutions for mixed variational inequalities with perturbation in Banach spaces
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[J]. OPTIMIZATION LETTERS, 2020, 14 (03) : 637 - 651
[10] Existence of solutions for mixed variational inequalities with perturbation in Banach spaces
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[J]. Optimization Letters, 2020, 14 : 637 - 651

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