Levitin-Polyak well-posedness for systems of time-dependent variational-hemivariational inequalities

Abstract

In the article, at the first, the new notion of LP well-posedness has been generalized in the paper. the LP well-posedness is related to a approximate function ℎ1(𝜀, 𝑢) and ℎ2(𝜀, 𝑢) rather than simple parameter 𝜀. And so as to to discuss the LP well-posedness, then some different metric characterizations of LP well-posedness was established and approximating solution set was constructed. In the end some equivalence results of strong LP well-posedness (resp., in the generalized sense) is proved.