On $𝚽^{γ(·,·)}$-subdifferentiable and [𝚽+γ]-subdifferentiable Functions

• Autorzy: S. Rolewicz
• Języki publikacji: EN

Abstrakty

EN

Let X be an arbitrary set. Let 𝚽 be a family of real-valued functions defined on X. Let γ:X × X → ℝ. Set [𝚽 + γ] = {Φ(·) + γ(·,x) | Φ ∈ 𝚽, x ∈ X}$. We give conditions guaranteeing the equivalence of $𝚽^{γ(·,·)}$-subdifferentiability and [𝚽 + γ]-subdifferentiability.

Kategorie tematyczne

• 26E15: Calculus of functions on infinite-dimensional spaces
• 52A01: Axiomatic and generalized convexity
• 46N10: Applications in optimization, convex analysis, mathematical programming, economics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: 53
• Numer: 3
• Strony: 273-279

Daty

wydano

2005

Twórcy

autor

S. Rolewicz

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O. Box 21, 00-956 Warszawa, Poland

Identyfikatory

DOI

10.4064/ba53-3-4