Well-posedness for multi-time variational inequality problems via generalized monotonicity and for variational problems with multi-time variational inequality constraints
Article Type
Research Article
Publication Title
Journal of Computational and Applied Mathematics
Abstract
The present paper investigates the well-posedness associated with multi-time variational inequality problems and the corresponding variational problems involving aforesaid inequality as a constraint. Firstly, we introduce the multi-time variational inequality problems determined by curvilinear integral functionals. Thereafter, we present the metric characterization of well-posedness in terms of approximate solution by defining the generalized monotonicity for the considered multi-time functional. Also, we establish that the well-posedness is equivalent to the existence and uniqueness of solution for the problems under consideration. Moreover, the mathematical development is accompanied by various illustrative examples.
DOI
10.1016/j.cam.2021.114033
Publication Date
6-1-2022
Recommended Citation
Jha, Shalini; Das, Prasun; Bandhyopadhyay, Sanghamitra; and Treanţă, Savin, "Well-posedness for multi-time variational inequality problems via generalized monotonicity and for variational problems with multi-time variational inequality constraints" (2022). Journal Articles. 3112.
https://digitalcommons.isical.ac.in/journal-articles/3112
