Browsing by Author "Gürbüz, Ece"

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    Master Thesis
    Subdifferentials in Non-Smooth Analysis
    (2011) Gürbüz, Ece; Maharramov, Shahlar
    In the first chapter, some properties of the weak subdifferential is considered. By using definition and properties of the weak subdifferential which described in the papers [2,12,13], we prove some theorem connecting weak subdifferential in non-smooth and non-convex analysis.In the second chapter, we consider the calculus of generalized gradients in an arbitrary Banach space X.In the third chapter, we discuss the discrete optimal control theory. The step control problem depending on a parameter is investigated. No smoothness of the cost function is assumed and new versions of the discrete maximum principle for the step control problem are derived.Keywords: Weak Subdifferential, Subdifferential, Superdifferential, Optimal Control Problem.