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


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.



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