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Zbl 0766.49025
Mukherjee, R.N.; Verma, H.L.
Sensitivity analysis of generalized variational inequalities.
(English)
[J] J. Math. Anal. Appl. 167, No.2, 299-304 (1992). ISSN 0022-247X

Under various structural assumptions the author studies variational inequalities of the form $U\in {\cal K}\sb \lambda$: $a(u,\lambda,v- u)+b(u,v)-b(u,u)\geq\langle A(u,\lambda),v-u\rangle$ for all $v\in{\cal K}\sb \lambda$. It is shown that the hypotheses imposed on the data imply the existence of a unique solution $u=u(\lambda)$ at least if $\lambda$ is contained in some open subset of the parameter domain. Moreover, the function $u(\lambda)$ is differentiable.
MSC 2000:
*49K40 Sensitivity of optimal solutions in the presence of perturbations

Keywords: sensitivity analysis; variational inequalities

Cited in: Zbl 1140.49020 Zbl 1121.49007

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