SIAM Journal on Optimization
Stability of Error Bounds for Semi-infinite Convex Constraint Systems
SIAM Journal on Optimization
SIAM Journal on Optimization
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We provide a rule to calculate the subdifferential set of the pointwise supremum of an arbitrary family of convex functions defined on a real locally convex topological vector space. Our formula is given exclusively in terms of the data functions and does not require any assumption either on the index set on which the supremum is taken or on the involved functions. Some other calculus rules, namely chain rule formulas of standard type, are obtained from our main result via new and direct proofs.