Results 41 to 50 of about 257,170 (166)
AxiomsClarke subdifferential and directional derivative theories are well developed for real functions. However, the nonsmooth analysis framework for interval mappings is still incomplete.
Shexiang Hai, Yanmei Zhang
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Complexity, 2020 This paper is devoted to the investigation of optimality conditions for approximate quasi weak efficient solutions for a class of vector equilibrium problem (VEP).
Yameng Zhang, Guolin Yu, Wenyan Han
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Nonlinear Analysis, 2019 In this paper, we mainly consider a control system governed by a Hilfer fractional evolution hemivariational inequality with a nonlocal initial condition.
Yatian Pei, Yong-Kui Chang
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Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities
Nonlinear Analysis, 2021 In this paper, we propose a new methodology to study evolutionary variational-hemivariational inequalities based on the theory of evolution equations governed by maximal monotone operators. More precisely, the proposed approach, based on a hidden maximal
Emilio Vilches, Shengda Zeng
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On the Clarke subdifferential of the distance function of a closed set
Journal of Mathematical Analysis and Applications, 1992 The authors derive formulas for computing the Clarke subdifferential of the distance function \(x\in X\mapsto d_ C(x)=\text{Inf}\{\| x- y\|: y\in C\}\). In connection with this question, they examine the role of the dimensionality of \(X\), the convexity of \(C\), and the (subdifferential) regularity of \(d_ C\).
Burke, James V +2 more
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On the Clarke Subdifferential of an Integral Functional on Lp, 1 ≤ p < ∞
, 1998 Given an integral functional defined on Lp, 1 ≤ p < ∞, under a growth condition we give an upper bound of the Clarke directional derivative and we obtain a nice inclusion between the Clarke subdifferential of the integral functional and the set of ...
E. Giner
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Differentiable Randers‐Finsler Eikonal Solvers
Computer Graphics Forum, EarlyView.Abstract Fast and differentiable solvers for anisotropic and asymmetric distance fields are a key primitive in geometry processing, enabling gradient‐based optimization over metrics, drift fields, and downstream objectives that depend on geodesic distances and geodesics.
Barak Gahtan +2 more
wiley +1 more source
Hilfer-Katugampola fractional stochastic differential inclusions with Clarke sub-differential
HeliyonThe objective of this paper is to investigate the existence of mild solutions and optimal controls for a class of stochastic Hilfer-Katugampola fractional differential inclusions (SHKFDIs) with non-instantaneous impulsive (NIIs) that is strengthened by ...
Noorah Mshary +3 more
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Subdifferential representation formula and subdifferential criteria for the behavior of nonsmooth functions [PDF]
, 2006 Several kinds of behaviors of extended-real-valued lower semicontinuous functions are known to be equivalent to certain appropriate conditions in terms of the Clarke subdifferential.
Rafael Correa +5 more
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Extensions Of Subdifferential Calculus Rules in Banach Spaces
, 1996 This paper is devoted to extending formulas for the geometric approximate subdifferential and the Clarke subdifferential of extended-real-valued functions on Banach spaces.
A. Jourani, L. Thibault
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