Results 71 to 80 of about 15,586 (220)
Inexact Inertial Proximal Algorithm for Maximal Monotone Operators
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 In this paper, convergence of the sequence generated by the inexact form of the inertial proximal algorithm is studied. This algorithm which is obtained by the discretization of a nonlinear oscillator with damping dynamical system, has been introduced by
Khatibzadeh Hadi, Ranjbar Sajad
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Unified gross substitutes and inverse isotonicity for equilibrium problems
Theoretical Economics, Volume 20, Issue 3, Page 941-971, July 2025.We introduce a notion of substitutability for correspondences and establish a monotone comparative static result. More precisely, we introduce the notions of unified gross substitutes and nonreversingness and show that if Q:P⇉Q is a supply correspondence defined on a set of prices P, which is a sublattice of RN, and Q satisfies these two properties ...
Alfred Galichon +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2005 We investigate the existence of local approximate and strong solutions for a time-dependent subdifferential evolution inclusion with a nonconvex upper-semicontinuous perturbation.
S. Guillaume, A. Syam
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Tropical analysis: With an application to indivisible goods
Theoretical Economics, Volume 20, Issue 3, Page 815-829, July 2025.We establish the subgradient theorem for monotone correspondences: a monotone correspondence is equal to the subdifferential of a potential if and only if it is conservative, i.e., its integral along a closed path vanishes irrespective of the selection from the correspondence along the path.
Nicholas C. Bedard, Jacob K. Goeree
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On the use of semi-closed sets and functions in convex analysis
Open Mathematics, 2015 The main aim of this short note is to show that the subdifferentiability and duality results established by Laghdir (2005), Laghdir and Benabbou (2007), and Alimohammady et al. (2011), stated in Fréchet spaces, are consequences of the corresponding known
Zălinescu Constantin
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Periodic solutions for time-dependent subdifferential evolution inclusions
, 2017 We consider evolution inclusions driven by a time dependent subdifferential plus a multivalued perturbation. We look for periodic solutions. We prove existence results for the convex problem (convex valued perturbation), for the nonconvex problem ...
Nikolaos S. Papageorgiou +1 more
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A Novel Approach to Thermo‐Mechanically Coupled, Gradient‐Enhanced Damage Modeling
International Journal for Numerical Methods in Engineering, Volume 126, Issue 12, 30 June 2025.ABSTRACT Thermo‐mechanical damage, such as thermal shock, is a common engineering problem. It constitutes a challenging problem that damage and temperature are conversely interacting with each other: Material damage leads to an increase in temperature due to energy dissipation; temperature also influences damage evolution.
Fangrui Liu +2 more
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Weakened subdifferentials and Frechet differentiability of real functions [PDF]
Let X be a real Banach space and f : X ! R [ {+1}. It is well known that the Clarke subdifferential @ f(x) of the function f at x 2 int dom f is a singleton if and only if f is strongly differentiable (then @ f(x) = {Dsf(x)}, where Dsf(x) is the strong ...
Ginchev Ivan
core
The Continuity of Subdifferential Mapping
Journal of Mathematical Analysis and Applications, 1997 The authors discuss continuity of the subdifferential mapping of the gauge of a bounded convex set with the origin an interior point and find a single-valuedness criterion for the mapping.
Wang, Jian-Hua, Nan, Chao-Xun
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Toward stochastic imperfect interfaces
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 4, April 2025.Abstract In this article, we propose two families of models for damaged materials that take uncertainties into account. First, in the context of standard materials, two volume models are proposed. Uncertainties are introduced using the Itô integral. Second, two interface models are proposed. For this, a technique of asymptotic developments is proposed,
Caroline Bauzet +3 more
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