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Showing 1 to 4 of 4 for “"generalized differentiation"”.
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Variational Analysis In Parametric Optimization
… to the development of variational analysis and generalized differentiation in infinite dimensions. We derive new calculus rules for both first-order partial subdifferentials and second-order partial subdifferentials in the framework of general Banach spaces as well as more developed rules in the …
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Variational analysis and optimal control of the sweeping process
… and advanced tools of variational analysis and generalized differentiation. The final results obtained are given in terms of the initial data of the controlled sweeping process and are illustrated by nontrivial examples.</p>
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New variational principles with applications to optimization theory and algorithms
… equations. We propose and justify a new generalized Newton algorithm based on graphical derivatives. Based on advanced tools of variational analysis and generalized differentiation, we establish the well-posedness and convergence results of the algorithm. Besides, we present a new …
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Methods Of Variational Analysis In Pessimistic Bilevel Programming
… tools of modern variational analysis and generalized differentiation developed by B. Mordukhovich. </p> <p> This dissertation begins with analyzing pessimistic bilevel programs, formulation of the problems, literature review, practical application, existence of the optimal solutions, …