Titlebook: Nonsmooth Optimization and Its Applications; Seyedehsomayeh Hosseini,Boris S. Mordukhovich,Andr Book 2019 The Editor(s) (if applicable) an

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Subdifferential Enlargements and Continuity Properties of the ,-Decomposition in Convex Optimizatioosition depends on the subdifferential at the given point, the associated objects lack suitable continuity properties (because the subdifferential lacks them), which poses an additional challenge to the already difficult task of constructing superlinearly convergent algorithms for nonsmooth optimiza

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Proximal Mappings and Moreau Envelopes of Single-Variable Convex Piecewise Cubic Functions and Mult particular, gauge functions and piecewise cubic functions are investigated and their Moreau envelopes categorized. Characterizations of convex Moreau envelopes are established; topics include strict convexity, strong convexity, and Lipschitz continuity.

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Newton-Like Dynamics Associated to Nonconvex Optimization Problems,>?0 is a parameter which controls the velocity. We show that the set of limit points of the trajectory . is contained in the set of critical points of the objective function .?+?., which is here seen as the set of the zeros of its limiting subdifferential. If the objective function is smooth and sat

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ent in one capital and about the same time before the corporate existence of these envoys — by . name — was remarked upon in a general work on diplomacy.. It was even later before individual courts began to issue diplomatic lists and thereby crystallize the group by formally identifying the boundari

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P.-A. Absil,S. Hosseinince the resident mission was invented half a millennium earlier. Stimulated by the pressures of alliance politics in World War I and a rising enthusiasm for popular control of foreign policy, and facilitated by dramatic advances in transport and telecommunications, the ‘old diplomacy’ — a secretive

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Adil M. Bagirov,Sona Taheri,Fusheng Bai,Zhiyou Wuthe Empire. The triumph of the Counter-Revolution was not at all assured. The comte de Vitrolles, a Proven?al nobleman who in 1814 took it on himself to plead the cause of the Bourbons among the allies, found that neither they nor the parts of eastern France he travelled through had much enthusiasm

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Seyedehsomayeh Hosseini,D. Russell Luke,André Uschmajew any British support, it also made military and political sense. In the end it was the policy which was to succeed, although in considerably changed circumstances. The émigrés were anyway convinced that the French people had been led astray in their search for novelties by a handful of wicked men. O

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