Implicit Functions and Solution Mappings: A View from Variational Analysis

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Error bounds and metric subregularity (2014, unknown): “, [14–17]) at a point (x̄, ȳ) ∈ gphF with constant τ > 0 if there exists neighbourhoods U of x̄ and V of ȳ such that”
Second-order growth, tilt stability, and metric regularity of the subdifferential (2013, background): “This line of development was continued by Lewis and Zhang [14] and by Drusvyatskiy and Lewis [10] who established the equivalence of uniform 1School of Operations Research and Information Engineering, Cornell University, Ithaca, NY 14853, USA, Email: dd379@cornell.edu.”
Deep Declarative Networks (2019, unknown): “It was Cauchy who first placed the theorem on rigorous mathematical grounds and Dini who first presented the theorem in its modern multivariate form [21, 32].”
Tracking Moving Agents via Inexact Online Gradient Descent Algorithm (2017, background): “Time-varying optimization problems have classically been studied in the context of optimal control [32], target tracking [33], [34], non-stationary optimization [35], and parametric programming [36].”