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Sign-changing solutions of variational inequality [PDF]

open access: yesarXiv
In this paper, we are concerned with the sign-changing solutions of variational inequality problems. In order to give the existence results of the sign-changing solutions for variational inequality problems, we first construct a suitable penalty problem related to the variational inequality, and prove the existence of a sign-changing solution for this ...
arxiv  

Linear Convergence Results for Inertial Type Projection Algorithm for Quasi-Variational Inequalities [PDF]

open access: yesarXiv
Many recently proposed gradient projection algorithms with inertial extrapolation step for solving quasi-variational inequalities in Hilbert spaces are proven to be strongly convergent with no linear rate given when the cost operator is strongly monotone and Lipschitz continuous.
arxiv  

Discretization of semicoercive variational inequalities

open access: yesAequationes Mathematicae, 1991
Consider the variational inequality: $$Find \hat x \varepsilon K such that \beta (\hat x, x - \hat x) \geqslant \lambda (x - \hat x) for all x \varepsilon K$$ and its discretization: $$Find x_h \varepsilon K_h such that \beta (x_h , x - x_h ) \geqslant \lambda (x - x_h ) for all x \varepsilon K_h .$$ Here, in a real reflexive separable ...
openaire   +2 more sources

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