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Subdifferential Calculus
The subject matter of this chapter is a calculus governing the limiting subdifferentials of composite functions, that is functions that are composed...
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Variational Analysis Based on Proximal Subdifferential on Smooth Banach Spaces
This paper first shows that for any p ∈ (1, 2) there exists a continuously differentiable function f on l p (and L p ) such that the proximal...
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Every proximal map** is a resolvent of level proximal subdifferential
We propose a level proximal subdifferential for a proper lower semicontinuous function. Level proximal subdifferential is a uniform refinement of the...
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Other subdifferential calculus rules
The main objective of this chapter is to establish new formulas for the subdifferential of the sum under conditions that are at an intermediate level...
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The Normal Map** or Subdifferential
This chapter describes basic properties of the normal map** or subdifferential and introduces the notion of Monge-Ampère measure and its...
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Optimal control of fractional non-autonomous evolution inclusions with Clarke subdifferential
In this paper, the non-autonomous fractional evolution inclusions of Clarke subdifferential type in a separable reflexive Banach space are...
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Sequential Pareto Subdifferential Sum Rule for Convex Set-Valued Map**s and Applications
The aim of this paper is to provide a general description of the Pareto subdifferential (weak and proper) of the sum of two cone-convex set-valued...
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A New Tour on the Subdifferential of the Supremum Function
This chapter is a survey presenting various characterizations of the subdifferential of the pointwise supremum of convex functions, as well as some...
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The subdifferential descent method in a nonsmooth variational problem
The paper is devoted to the classical variational problem with a nonsmooth integrand of the functional to be minimized. The integrand is supposed to...
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A Note on B-Subdifferential of Projection Operator on Polyhedral Set
This note characterizes the set of Fréchet-differentiable points of the projection operator on a polyhedral set and the B-subdifferential of this...
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Generalized Lagrangian Duality in Set-valued Vector Optimization via Abstract Subdifferential
In this paper, we investigate dual problems for nonconvex set-valued vector optimization via abstract subdifferential. We first introduce a...
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Nonlocal Controllability of Sobolev-Type Conformable Fractional Stochastic Evolution Inclusions with Clarke Subdifferential
In this paper, Sobolev-type conformable fractional stochastic evolution inclusions with Clarke subdifferential and nonlocal conditions are studied....
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Pareto epsilon-subdifferential sum rule for set-valued map**s and applications to set optimization
In this paper, we are mainly concerned with a rule for efficient (Pareto) approximate subdifferential, concerning the sum of two cone-convex...
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Sequential subdifferential for multi-composed functions via perturbation approach
In this paper, we establish a sequential formula for the subdifferential of multi-composed convex functions via an interesting result due to (Bot et...
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Quadratic Growth and Strong Metric Subregularity of the Subdifferential for a Class of Non-prox-regular Functions
This paper mainly studies the quadratic growth and the strong metric subregularity of the subdifferential of a function that can be represented as...
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Application of the Subdifferential Descent Method to a Classical Nonsmooth Variational Problem
The paper considers a classical problem of calculus of variations with a nonsmooth integrand of the minimized functional. The integrand is assumed to...
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Das konvexe Subdifferential
Das zentrale Werkzeug zur konkreten Umsetzung des Satzes von Lewis und Pang ist das Subdifferential einer konvexen Funktion, das das vorliegende...