Subdifferential calculus is a branch of calculus that deals with nonsmooth functions, allowing for the generalization of the concept of derivatives to include points where a function may not be differentiable. This is particularly important for optimization problems, where many objective functions may be convex but lack traditional smoothness. Understanding subdifferentials helps in finding optimal solutions in various contexts, making it essential for analyzing variational problems and optimality conditions in nonsmooth optimization and fixed point theory.
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