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

[11] Existence of solutions of generalized variational inequalities in reflexive Banach spaces
Wong, Mu-Ming
Ansari, Qamrul Hasan
Yao, Jen-Chih
APPLIED MATHEMATICS LETTERS, 2009, 22 (02) : 197 - 201
[12] Existence of solutions of a new system of generalized variational inequalities in Banach spaces
Plubtieng, Somyot
Thammathiwat, Tipphawan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
[13] Existence of solutions and error bound for vector variational inequalities in Banach spaces
Yao, Jen-Chih
Zheng, Xi Yin
OPTIMIZATION, 2018, 67 (09) : 1333 - 1344
[14] Existence of Solutions of Generalized Vector Variational Inequalities in Reflexive Banach Spaces
Lu-Chuan Zeng
Jen-Chih Yao
Journal of Global Optimization, 2006, 36 : 483 - 497
[15] Existence of solutions of generalized vector variational inequalities in reflexive Banach spaces
Zeng, Lu-Chuan
Yao, Jen-Chih
JOURNAL OF GLOBAL OPTIMIZATION, 2006, 36 (04) : 483 - 497
[16] ON THE EXISTENCE AND APPROXIMATION OF SOLUTIONS FOR BILEVEL VECTOR VARIATIONAL INEQUALITIES IN BANACH SPACES
Chadli, O.
Mohapatra, R. N.
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2020, 4 (01): : 135 - 151
[17] Existence of solutions of a new system of generalized variational inequalities in Banach spaces
Somyot Plubtieng
Tipphawan Thammathiwat
Journal of Inequalities and Applications, 2012
[18] Existence and Algorithm for Solving the System of Mixed Variational Inequalities in Banach Spaces
Saewan, Siwaporn
Kumam, Poom
JOURNAL OF APPLIED MATHEMATICS, 2012,
[19] ON THE EXISTENCE OF SOLUTIONS OF VARIATIONAL INEQUALITIES USING BREGMAN DISTANCES IN BANACH SPACES
Jahromi, Maryam Tamadoni
Naraghirad, Eskandar
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (04) : 699 - 712
[20] Existence of solutions for generalized mixed variational inequalities in reflexive Banach spaces
Wang, Zhong-Bao
Chen, Zi-Li
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 3299 - 3309

← 1 2 3 4 5 →