Results 61 to 70 of about 15,245 (222)

Enlargements of Monotone Operators Determined by Representing Function

open access: yesJournal of Mathematical Extension, 2012
In this paper, we study a new enlargement of subdifferential for any proper lower semicontinuous function. We know that ε-subdifferential of any proper lower semicontinuous function is an enlargement of its subfifferential and any point from the graph
M. Rezaei
doaj  

Tangential Extremal Principles for Finite and Infinite Systems of Sets, II: Applications to Semi-infinite and Multiobjective Optimization [PDF]

open access: yes, 2011
This paper contains selected applications of the new tangential extremal principles and related results developed in Part I to calculus rules for infinite intersections of sets and optimality conditions for problems of semi-infinite programming and ...
Mordukhovich, Boris S., Phan, Hung M.
core   +2 more sources

The Exact Ground State of the Frenkel-Kontorova Model with Repeated Parabolic Potential: II. Numerical Treatment

open access: yes, 1997
A procedure is described for efficiently finding the ground state energy and configuration for a Frenkel-Kontorova model in a periodic potential, consisting of N parabolic segments of identical curvature in each period, through a numerical solution of ...
H. J. Schellnhuber   +8 more
core   +1 more source

Learning in random utility models via online decision problems

open access: yesInternational Journal of Economic Theory, Volume 21, Issue 4, Page 494-526, December 2025.
Abstract This paper examines the Random Utility Model (RUM) in repeated stochastic choice settings where decision‐makers lack full information about payoffs. We propose a gradient‐based learning algorithm that embeds RUM into an online decision‐making framework.
Emerson Melo
wiley   +1 more source

Generalized derivatives and optimization problems for n-dimensional fuzzy-number-valued functions

open access: yesOpen Mathematics, 2020
In this paper, we present the concepts of generalized derivative, directional generalized derivative, subdifferential and conjugate for n-dimensional fuzzy-number-valued functions and discuss the characterizations of generalized derivative and ...
Xie Ting, Gong Zengtai, Li Dapeng
doaj   +1 more source

The $\gamma $-support as a micro-support

open access: yesComptes Rendus. Mathématique, 2023
We prove that for any element $L$ in the completion of the space of smooth compact exact Lagrangian submanifolds of a cotangent bundle equipped with the spectral distance, the $\gamma $-support of $L$ coincides with the reduced micro-support of its sheaf
Asano, Tomohiro   +4 more
doaj   +1 more source

Moreau-Rockafellar-Type Formulas for the Subdifferential of the Supremum Function

open access: yesSIAM Journal on Optimization, 2019
We characterize the subdifferential of the supremum function of finitely and infinitely indexed families of convex functions.
R. Correa, A. Hantoute, M. López
semanticscholar   +1 more source

Conformal optimization of eigenvalues on surfaces with symmetries

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
wiley   +1 more source

Time dependent evolution inclusions governed by the difference of two subdifferentials

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
The purpose of this paper is to study evolution inclusions involving time dependent subdifferential operators which are non-monotone. More precisely, we study existence of solutions for the following evolution equation in a real Hilbert space $X$~: $u ...
S. Guillaume
doaj   +1 more source

Superlinear perturbations of a double‐phase eigenvalue problem

open access: yesTransactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We consider a perturbed version of an eigenvalue problem for the double‐phase operator. The perturbation is superlinear, but need not satisfy the Ambrosetti–Robinowitz condition. Working on the Sobolev–Orlicz space W01,η(Ω)$ W^{1,\eta }_{0}(\Omega)$ with η(z,t)=α(z)tp+tq$ \eta (z,t)=\alpha (z)t^{p}+t^{q}$ for 1
Yunru Bai   +2 more
wiley   +1 more source

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