On the stability of solution mappings parametric generalized vector quasivariational inequality problems of the Minty type | Zendy

Lam Anh | Zendy; Nguyễn Văn Hùng | Zendy

Open Access

On the stability of solution mappings parametric generalized vector quasivariational inequality problems of the Minty type

Author(s) -

Lam Anh,

Nguyễn Văn Hùng

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1703747a

Subject(s) - mathematics , hausdorff space , parametric statistics , stability (learning theory) , type (biology) , mathematical analysis , inequality , pure mathematics , statistics , computer science , ecology , machine learning , biology

In this paper, we study two parametric weak and strong vector quasivariational inequality problems of the Minty type. The stability properties of the exact solution sets and approximate solution sets for these problems such as the upper semicontinuity, the lower semicontinuity, the Hausdorff lower semicontinuity, the continuity and the Hausdorff continuity are obtained. The results presented in the paper improve and extend the main results in the literature.

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