Integration of subdifferentials of nonconvex functions
Nonlinear Analysis: Theory, Methods & Applications
Convergence analysis of some algorithms for solving nonsmooth equations
Mathematics of Operations Research
Convergence of some algorithms for convex minimization
Mathematical Programming: Series A and B - Special issue: Festschrift in Honor of Philip Wolfe part II: studies in nonlinear programming
Coupling the proximal point algorithm with approximation methods
Journal of Optimization Theory and Applications
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In this paper we study an algorithm to find critical points of a lower semicontinuous nonconvex function. We use the Moreau regularization for a special type of functions belonging to the class of prox-regular functions which have very interesting algorithmic properties. We show that it is possible to generate an algorithm in order to obtain a critical point using the theory developed for the composite functions and also the results for the solutions of nonsmooth vectorial equations. We prove the convergence of the algorithm and some estimations of the convergence speed.