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Upper semicontinuity in a parametric general variational problem and application
Nonlinear Analysis, Theory, Methods and Applications Số 04-Mar, năm 2010 (Tập 72, trang 1500-1513)
ISSN: 0362546X
ISSN: 0362546X
DOI: 10.1016/j.na.2009.08.034
Tài liệu thuộc danh mục: Scopus
Article
English
Từ khóa: Closedness; Closedness property; Generalized vector quasi-equilibrium problem; Semi-continuity; Variational problems; Set theory; Variational techniques; Vectors
Tóm tắt tiếng anh
In this paper, we give sufficient conditions for the upper semicontinuity property of the solution mapping of a general model which includes many generalized vector quasi-equilibrium problems with set-valued maps as special cases. The main result generalizes and improves several recent results. An example is given to illustrate such generalization and improvement. The main result is also applied to a model which can be interpreted as a system of generalized vector quasi-equilibrium problems with moving cones. The main tools of the paper are some new notions of cone-semicontinuity properties and openness/closedness properties of families of set-valued maps. 2009 Elsevier Ltd. All rights reserved.