Results 1 to 10 of about 622 (75)
A convergent relaxation of the Douglas-Rachford algorithm. [PDF]
Comput Optim Appl, 2018 This paper proposes an algorithm for solving structured optimization problems, which covers both the backward-backward and the Douglas-Rachford algorithms as special cases, and analyzes its convergence.
Thao NH.
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Second-order conditions for non-uniformly convex integrands: quadratic growth in $L^1$ [PDF]
Journal of Nonsmooth Analysis and Optimization, 2022 We study no-gap second-order optimality conditions for a non-uniformly convex and non-smooth integral functional. The integral functional is extended to the space of measures.
Daniel Wachsmuth, Gerd Wachsmuth
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On implicit variables in optimization theory [PDF]
Journal of Nonsmooth Analysis and Optimization, 2021 Implicit variables of a mathematical program are variables which do not need to be optimized but are used to model feasibility conditions. They frequently appear in several different problem classes of optimization theory comprising bilevel programming ...
Matúš Benko, Patrick Mehlitz
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On inner calmness*, generalized calculus, and derivatives of the normal cone mapping [PDF]
Journal of Nonsmooth Analysis and Optimization, 2021 In this paper, we study continuity and Lipschitzian properties of set-valued mappings, focusing on inner-type conditions. We introduce new notions of inner calmness* and, its relaxation, fuzzy inner calmness*.
Matúš Benko
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From resolvents to generalized equations and quasi-variational inequalities: existence and differentiability [PDF]
Journal of Nonsmooth Analysis and Optimization, 2022 We consider a generalized equation governed by a strongly monotone and Lipschitz single-valued mapping and a maximally monotone set-valued mapping in a Hilbert space. We are interested in the sensitivity of solutions w.r.t. perturbations of both mappings.
Gerd Wachsmuth
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Asymptotic stationarity and regularity for nonsmooth optimization problems [PDF]
Journal of Nonsmooth Analysis and Optimization, 2020 Based on the tools of limiting variational analysis, we derive a sequential necessary optimality condition for nonsmooth mathematical programs which holds without any additional assumptions. In order to ensure that stationary points in this new sense are
Patrick Mehlitz
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Improving KKM Theory on General Metric Type Spaces
Topological Algebra and its Applications, 2021 A generalized metric type space is a generic name for various spaces similar to hyperconvex metric spaces or extensions of them. The purpose of this article is to introduce some KKM theoretic works on generalized metric type spaces and to show that they ...
Park Sehie
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A fixed point theorem for discontinuous functions [PDF]
, 2005 AMS classifications: 54H25, 65K10, 49J53 ...
Herings, P.J.J. +3 more
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On the well-posedness of differential quasi-variational-hemivariational inequalities
Open Mathematics, 2020 The goal of this paper is to discuss the well-posedness and the generalized well-posedness of a new kind of differential quasi-variational-hemivariational inequality (DQHVI) in Hilbert spaces.
Cen Jinxia +3 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 We generalize the Zermelo navigation on Riemannian manifolds (M; h), admitting a space dependence of a ship's speed 0 < |u(x)|h ≤ 1 in the presence of a perturbation W̃ determined by a strong (critical) velocity vector field satisfying |W̃ (x)|h = |u(x ...
Kopacz Piotr
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