Results 31 to 40 of about 134 (108)
Generalized derivatives of the optimal value of a linear program with respect to matrix coefficients [PDF]
, 2019 International audienceWe present here a characterization of the Clarke subdifferential of the optimal value function of a linear program as a function of matrix coefficients.
De Wolf, Daniel +2 more
core +1 more source
Method for solving generalized convex nonsmooth mixed-integer nonlinear programming problems [PDF]
, 2022 In this paper, we generalize the extended supporting hyperplane algorithm for a convex continuously differentiable mixed-integer nonlinear programming problem to solve a wider class of nonsmooth problems.
Kronqvist J +4 more
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ON GENERALIZED DERIVATIVES FOR C 1,1 VECTOR OPTIMIZATION PROBLEMS [PDF]
, 2020 We introduce generalized definitions of Peano and Riemann directional derivatives in order to obtain second-order optimality conditions for vector optimization problems involving C 1,1 data.
Davide La Torre
core
Optimality and duality for nonsmooth minimax programming problems using convexifactor [PDF]
, 2017 The aim of this work is to study optimality conditions for nonsmooth minimax programming problems involving locally Lipschitz functions by means of the idea of convexifactors that has been used in [J. Dutta, S.
Krishna Kummari +3 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper defines a strong convertible nonconvex (SCN) function for solving the unconstrained optimization problems with the nonconvex or nonsmooth (nondifferentiable) function. First, the concept of SCN function is defined, where the SCN functions are nonconvex or nonsmooth.
Min Jiang +4 more
wiley +1 more source
Distinct Differentiable Functions May Share the Same Clarke Subdifferential at All Points [PDF]
, 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
core
Existence, comparison, and convergence results for a class of elliptic hemivariational inequalities [PDF]
, 2021 In this paper we study a class of elliptic boundary hemivariational inequalities which originates in the steady-state heat conduction problem with nonmonotone multivalued subdifferential boundary condition on a portion of the boundary described by the ...
Ochal, Anna +3 more
core +2 more sources
Conformal optimization of eigenvalues on surfaces with symmetries
Journal 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
Superlinear perturbations of a double‐phase eigenvalue problem
Transactions 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
Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2595-2611, November/December 2025.Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson +2 more
wiley +1 more source