Abstract
ABSTRACT In this study, we mainly study the stability for parametric unified weak quasivariational inequality (PUWQVI) under free-disposal set mappings. Firstly, by using a nonlinear scalarization method, we establish the semicontinuity of gap functions and solution mappings for (PUWQVI). Then, under the free-disposal set mapping assumption, we obtain some sufficient conditions of the outer-continuity and the outer-openness for (PUWQVI), and the inner-openness for parametric unified set-valued strong vector quasivariational inequality, respectively. Moreover, examples are given to illustrate our results, our results are new and improve the corresponding ones in the literature.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have