Lower Semicontinuous Regularization for Vector-Valued Mappings
نویسندگان
چکیده
منابع مشابه
Lower Semicontinuous Regularization for Vector-Valued Mappings
The concept of the lower limit for vector-valued mappings is the main focus of this work. We first introduce a new definition of adequate lower and upper level sets for vector-valued mappings and establish some of their topological and geometrical properties. Characterization of semicontinuity for vector-valued mappings is thereafter presented. Then, we define the concept of vector lower limit,...
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a concept of weak $f$-property for a set-valued mapping is introduced, and then under some suitable assumptions, which do not involve any information about the solution set, the lower semicontinuity of the solution mapping to the parametric set-valued vector equilibrium-like problems are derived by using a density result and scalarization method, where the constraint set $k$...
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ژورنال
عنوان ژورنال: Journal of Global Optimization
سال: 2006
ISSN: 0925-5001,1573-2916
DOI: 10.1007/s10898-005-3839-z