An existence principle for variational inequalities in Banach spaces

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.

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Bibliographic Details
Published inRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Vol. 114; no. 1
Main Authors Ariza-Ruiz, D., Garcia-Falset, J., Villada-Bedoya, J.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 2020
Springer Nature B.V
Subjects
Applications of Mathematics
Banach spaces
Hilbert space
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Theoretical
Accretive operators
47H10
Zeroes of an operator
49J40
Fixed points
47H06
Variational inequalities
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Summary: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.
ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-019-00771-9