On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces-Reference-Cited by-同舟云学术

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

Published:2021-11-18 Issue: Volume:2021 Page:1-9
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Ceng Lu-Chuan¹^ORCID,Liou Yeong-Cheng²³^ORCID,Wen Ching-Feng⁴^ORCID,Hu Hui-Ying¹,He Long¹,Cui Yun-Ling¹

Affiliation:

1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China

2. Department of Healthcare Administration and Medical Informatics, Center for Big Data Analytics & Intelligent Healthcare, and Research Center of Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 807, Taiwan

3. Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung 80708, Taiwan

4. Center for Fundamental Science and Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 80708, Taiwan

Abstract

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.

Funder

Shanghai Municipal Human Resources and Social Security Bureau

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/9527107.pdf

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