Geodesic
On well-posedness associated with a class of controlled variational inequalities
Savin Treanţă1 ; Shalini Jha2
1 Department of Applied Mathematics, University Politehnica of Bucharest, 313 Splaiul Independenţei, Bucharest 060042, Romania.
2 School of Advanced Sciences, VIT-AP University, Andhra Pradesh 522237, India.
Mathematical modelling of natural phenomena, Tome 16 (2021), article no. 52 Cet article a éte moissonné depuis la source EDP Sciences

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In this paper, by using the new concepts of monotonicity, pseudomonotonicity and hemicontinuity associated with the considered curvilinear integral functional, we investigate the well-posedness and well-posedness in generalized sense for a class of controlled variational inequality problems. More precisely, by introducing the approximating solution set of the considered class of controlled variational inequality problems, we formulate and prove some characterization results on well-posedness and well-posedness in generalized sense. Also, the theoretical developments presented in the paper are accompanied by illustrative examples.
DOI : 10.1051/mmnp/2021046

Savin Treanţă 1 ; Shalini Jha 2

1 Department of Applied Mathematics, University Politehnica of Bucharest, 313 Splaiul Independenţei, Bucharest 060042, Romania.
2 School of Advanced Sciences, VIT-AP University, Andhra Pradesh 522237, India. 
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Savin Treanţă; Shalini Jha. On well-posedness associated with a class of controlled variational inequalities. Mathematical modelling of natural phenomena, Tome 16 (2021), article  no. 52. doi: 10.1051/mmnp/2021046

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