Extensions
Advanced treatments consider convex functions that can attain positive infinity, also; the indicator function of convex analysis is zero for every and positive infinity otherwise.
Extensions of convex functions include pseudo-convex and quasi-convex functions. Partial extensions of the theory of convex analysis and iterative methods for approximately solving non-convex minimization problems occur in the field of generalized convexity ("abstract convex analysis").
Read more about this topic: Convex Optimization
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