On some variational inequality-constrained control problems

Journal of Inequalities and Applications

Research

Savin Treanţă¹  Tadeusz Antczak²  Tareq Saeed³ 

[1] Faculty of Applied Sciences, University Politehnica of Bucharest, 060042, Bucharest, Romania;Academy of Romanian Scientists, 54 Splaiul Independentei, 050094, Bucharest, Romania;Faculty of Mathematics and Computer Science, University of Lódź, 90-238, Lódź, Poland;Faculty of Sciences, King Abdulaziz University, 21589, Jeddah, Saudi Arabia;

关键词: Well-posedness;    Control problem;    Monotonicity;    Hemicontinuity;    65K10;    49K40;   

DOI  :  10.1186/s13660-022-02895-w

 received in 2022-05-13, accepted in 2022-12-01,  发布年份 2022

来源: Springer

【 摘 要 】

In this paper, by considering some properties associated with scalar functionals of multiple-integral type, we study the well-posedness and generalized well-posedness for a new variational inequality-constrained optimization problems By using the set of approximating solutions, we state some characterization theorems on well-posedness and generalized well-posedness. Also, in order to validate the derived results, some examples are given.

【 授权许可】

CC BY   
© The Author(s) 2022

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