Well-posedness for systems of time-dependent hemivariational inequalities in Banach spaces
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Authors
Lu-Chuan Ceng
- Department of Mathematics, Shanghai Normal University, Shanghai 200234, China.
Yeong-Cheng Liou
- Department of Healthcare Administration and Medical Informatics, Center for Big Data Analytics and Intelligent Healthcare, and Research Center of Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 807, Taiwan.
- Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung 807, Taiwan.
Jen-Chih Yao
- Center for General Education, China Medical University, Taichung 40402, Taiwan.
Yonghong Yao
- Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China.
Abstract
In this paper, we generalize the concept of \(\alpha\)-well-posedness to a system of time-dependent hemivariational inequalities without Volterra integral terms in Banach spaces. We establish some metric characterizations of \(\alpha\)-well-posedness and prove some equivalence results of strong \(\alpha\)-well-posedness (resp., in the generalized sense) between a system of time-dependent hemivariational inequalities and its derived system of inclusion problems.
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ISRP Style
Lu-Chuan Ceng, Yeong-Cheng Liou, Jen-Chih Yao, Yonghong Yao, Well-posedness for systems of time-dependent hemivariational inequalities in Banach spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 8, 4318--4336
AMA Style
Ceng Lu-Chuan, Liou Yeong-Cheng, Yao Jen-Chih, Yao Yonghong, Well-posedness for systems of time-dependent hemivariational inequalities in Banach spaces. J. Nonlinear Sci. Appl. (2017); 10(8):4318--4336
Chicago/Turabian Style
Ceng, Lu-Chuan, Liou, Yeong-Cheng, Yao, Jen-Chih, Yao, Yonghong. "Well-posedness for systems of time-dependent hemivariational inequalities in Banach spaces." Journal of Nonlinear Sciences and Applications, 10, no. 8 (2017): 4318--4336
Keywords
- System of time-dependent hemivariational inequalities
- \(\alpha\)-well-posedness
- monotonicity
- Clarke’s generalized gradient
- regularity.
MSC
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