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We provide definitions for Fréchet $$\varepsilon $$ ε -subdifferential and Fréchet $$\varepsilon $$ ε -normals set for functions and sets in the Riemannian manifolds. Then we generalize the notions of… Click to show full abstract
We provide definitions for Fréchet $$\varepsilon $$ ε -subdifferential and Fréchet $$\varepsilon $$ ε -normals set for functions and sets in the Riemannian manifolds. Then we generalize the notions of Mordukhovich sequential subdifferential and normal cone (limiting subdifferential and normal cone) and develop several calculus rules for subdifferentials and normal cones in this setting. Finally, as an application, the limiting subdifferential of perturbed distance function is investigated in the Riemannian manifolds setting.
Journal Title: Journal of Global Optimization
Year Published: 2020
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