Gap Functions and Error Bound to Set-Valued Variational Inequalities

Abstract In this paper, the gap function for set-valued variational inequalities is introduced and the finiteness of the gap function is discussed. Furthermore, under µ-strongly monotone condition, we obtain error bounds for set-valued variational inequalities, i.e. upper estimates forthe distance to the solution set of the variational inequalities.

Keywords variational inequalities, gap functions, set-valued maps, error bounds.

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Dynamic analyses of a flat plate and a beam subjected to a moving load

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