Our objective is to investigate the inverse problem of identifying variable parameters in certain variational and quasi-variational inequalities. To this end we extend a trilinear form based optimization framework that has been used quite effectively for parameter identification in variational equations emerging from p...
Joachim Gwinner, B. Jadamba, Akhtar A. Khan et al.· Journal of Convex Analysis· 8 citations
Motivated by the necessity to identify stochastic parameters in a wide range of stochastic partial differential equations, an abstract inversion framework is designed. The stochastic inverse problem is studied in a stochastic optimization framework. The essential properties of the solution map are derived and used to p...
M. Dambrine, Akhtar A. Khan, M. Sama et al.· Journal of Convex Analysis· 5 citations· ⚡1
Recently, by using the derivatives of scalarized maps, associated with a vector optimization problem, new multiplier rules have been proven. The first objective of this paper is to show that those rules do not hold in infinite dimensional setting without imposing additional restrictions, even when the ordering cone has...
Akhtar A. Khan, M. Sama· Journal of Convex Analysis· 2 citations
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