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In this paper, we study $$\sigma $$ σ -subdifferentials of $$\sigma $$ σ -convex functions. Two equivalent conditions for $$\sigma $$ σ -convexity are given. The formula for the $$\sigma… Click to show full abstract
In this paper, we study $$\sigma $$ σ -subdifferentials of $$\sigma $$ σ -convex functions. Two equivalent conditions for $$\sigma $$ σ -convexity are given. The formula for the $$\sigma $$ σ -subdifferential of a sum of two functions is established. In terms of $$\sigma $$ σ -subdifferential and Clarke’s normal cone, some Fermat’s rules for minimization problems are obtained.
Keywords:
subdifferential application;
minimization problem;
application minimization;
sigma subdifferential;
sigma
Journal Title: Positivity
Year Published: 2019
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Journal Title: Positivity
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!