Convergence of Slopes in Asplund Spaces
Copyright policy )Convergence of Slopes in Asplund Spaces
We investigate the epigraphical convergence of slopes of lower semicontinuous convex functions on Asplund spaces. This type of convergence of slopes is compared to the Painlevé-Kuratowski convergence of subdifferentials. Both convergences are shown to be equivalent under mild conditions of compactness type.
- University of Łódź Poland
- University of Montpellier France
- University of Chile Chile
- Center for Mathematical Modeling Chile
convex function, convergence of subdifferentials, Nonsmooth analysis, slope, subdifferential, Variational and other types of inclusions, convergence of slopes, Variational principles in infinite-dimensional spaces, Convexity of real functions of several variables, generalizations
convex function, convergence of subdifferentials, Nonsmooth analysis, slope, subdifferential, Variational and other types of inclusions, convergence of slopes, Variational principles in infinite-dimensional spaces, Convexity of real functions of several variables, generalizations
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