Barrier Functions in Subdifferential Theory
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We present a new method for proving Correa-Jofré-Thibault's theorem that monotonicity of subdifferential implies convexity of the function. This new method is based on barrier functions. Barrier functions help overcome some of the main technical difficulties when working with lower semicontinuous functions.
- Sofia University United States
- Sofia University Bulgaria
convex function, Nonsmooth analysis, subdifferential, monotonicity, Functional Analysis (math.FA), 49J52, 47H05, 52A41, Convex functions and convex programs in convex geometry, FOS: Mathematics, barrier function, Monotone operators and generalizations, Functional Analysis
convex function, Nonsmooth analysis, subdifferential, monotonicity, Functional Analysis (math.FA), 49J52, 47H05, 52A41, Convex functions and convex programs in convex geometry, FOS: Mathematics, barrier function, Monotone operators and generalizations, Functional Analysis
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