Regularity Conditions for Non-Differentiable Infinite Programming Problems using Michel-Penot Subdifferential [PDF]
Control and Optimization in Applied Mathematics, 2016 In this paper we study optimization problems with infinite many inequality constraints on a Banach space where the objective function and the binding constraints are locally Lipschitz.
Nader Kanzi
doaj
Distinct Differentiable Functions May Share the Same Clarke Subdifferential at All Points
, 1995 . We construct, using Zahorski's Theorem, two everywhere differentiable real--valued Lipschitz functions differing by more than a constant but sharing the same Clarke subdifferential and the same approximate subdifferential.
J.M. Borwein, Xianfu Wang
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A Note on Approximate Subdifferential of Composed Convex Operator [PDF]
, 2014 Using the concept of an approximate strong subdifferential of a vector valued convex mapping, we provide approximate strong subdifferential formula of a composed convex operator. An application to a vector minimization problem is also given.
Mohamed Laghdir, Ahmed Rikouane
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Almost periodic solutions of differential inclusions governed by subdifferentials
Electronic Journal of Differential Equations, 2016 Sufficient conditions are given to ensure the existence and eventually the uniqueness of bounded and almost periodic solutions of evolution equations governed by subdifferential operators.
Karim El Mufti
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Unified Robust Necessary Optimality Conditions for Nonconvex Nonsmooth Uncertain Multiobjective Optimization. [PDF]
J Optim Theory Appl, 2022 Wang J, Li S, Feng M.
europepmc +1 more source
Lipschitz functions with minimal Clarke subdifferential mappings
, 1996 In this paper we characterise, in terms of the upper Dini derivative, when the Clarke subdifferential mapping of a real-valued locally Lipschitz function is a minimal weak cusco.
Jonathan M. Borwein, Warren B. Moors
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About subdifferential calculus for abstract convex functions
, 2007 We introduce a stronger version of the strong globalization property of Rolewicz and examine the corresponding subdifferential calculus for abstract convex functions.
Sharikov, Evgenii
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Visualization of the ε-subdifferential of piecewise linear-quadratic functions
, 2017 Computing explicitly the ε-subdifferential of a proper function amounts to computing the level set of a convex function namely the conjugate minus a linear function.
Lucet, Yves, Bajaj, Anuj, Hare, Warren
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High regularity of the solution of a nonlinear parabolic boundary-value problem
Electronic Journal of Differential Equations, 2002 The aim of this paper is to report some results concerning high regularity of the solution of a nonlinear parabolic problem with a linear parabolic differential equation in one spatial dimension and nonlinear boundary conditions.
Luminita Barbu +2 more
doaj
Almost periodic solutions of periodic systems governed by subdifferential operators
, 1995 We construct an example of the periodic evolution system governed by the time-dependent subdifferential operators admitting almost periodic orbits which are not quasiperiodic.
Mitsuharu Ôtani
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