Stability analysis for parametric generalized vector quasi-variational-like inequality problems
نویسندگان
چکیده
* Correspondence: jeky99@126. com; [email protected] School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, P.R. China Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, Korea Full list of author information is available at the end of the article Abstract In this article, we consider a class of parametric generalized vector quasi-variationallike inequality problem (for short, (PGVQVLIP)) in Hausdorff topological vector spaces, where the constraint set K and a set-valued mapping T are perturbed by different parameters, and establish the nonemptiness and upper semicontinuity of the solution mapping S for (PGVQVLIP) under some suitable conditions. By virtue of the gap function, sufficient conditions for the H-continuity and B-continuity of the solution mapping S of (PGVQVLIP) are also derived. Moreover, examples are provided for illustrating the presented results. 2000 Mathematics Subject Classification: 49J40; 90C33.
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