On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces

We introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well-posedness and Hadamard well-posedness for a generalized mixed variational inequality are studied. The characterizations of Hadamard wel...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2021, Vol.2021, p.1-9
Main Authors: Ceng, Lu-Chuan, Liou, Yeong-Cheng, Wen, Ching-Feng, Hu, Hui-Ying, He, Long, Cui, Yun-Ling
Format: Article
Language:English
Subjects:
Banach spaces
Inequality
Mathematical functions
Mathematics
Well posed problems
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Summary:We introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well-posedness and Hadamard well-posedness for a generalized mixed variational inequality are studied. The characterizations of Hadamard well-posedness for a generalized mixed variational inequality are established.
ISSN:2314-4629
2314-4785
DOI:10.1155/2021/9527107