Results 81 to 90 of about 3,068 (107)
Some of the next articles are maybe not open access.
A trust region algorithm for minimization of locally Lipschitzian functions
Mathematical Programming, 1994The authors prove the global convergence of the classical trust region algorithm in the non-smooth case where the objective function is only locally Lipschitzian. The result is interesting.
Qi, L., Sun, J.
openaire +1 more source
Some brief observations in minimizing the sum of locally Lipschitzian functions
Optimization Letters, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wim van Ackooij, Welington de Oliveira
openaire +3 more sources
A nonmonotone trust region algorithm for minimization of locally lipschitzian functions
2010 3rd International Congress on Image and Signal Processing, 2010The classical trust region algorithm was extended to the nonsmooth minimization problem successful by Qi and Sun. Combining the trust region algorithm of Qi and Sun with the nonmonotone technique, this paper present a nonmonotone trust region algorithm for the unconstrained nonsmooth optimization problems where the objective function is locally ...
Min Xi, Yan Wu, Houchun Zhou
openaire +1 more source
Locally lipschitzian guiding function method for ODEs
Nonlinear Analysis: Theory, Methods & Applications, 1998The author treats the existence of periodic solutions to the problem \[ x'(t) = f(t,x(t)), \quad x(0)=x(T), \tag{*} \] where \(f:[0,T] \times \mathbb{R}^n \to \mathbb{R}^n\) is a Carathéodory function with integrably bound growth. Under the assumption that \(f\) has a locally Lipschitzian guiding function \(V\) with Ind\((V) \neq 0\) it is proved that ...
openaire +1 more source
Solution of monotone complementarity problems with locally Lipschitzian functions
Mathematical Programming, 1997The paper deals with complementarity problems CP(F), where the underlying function F is assumed to be locally Lipschitzian. Based on a special equivalent reformulation of CP(F) as a system of equations (Phi)(x) = 0 or as the problem of minimizing the merit function (psi) =1/2 ^ 2_2, we extend results which hold for sufficiently smooth functions F to ...
openaire +2 more sources
An Algorithm for Monotone Complementarity Problems with Locally Lipschitzian Functions
1996We consider the complementarity problem CP(F) of finding x ∈ IR n such that $$ F(x) \geqslant 0,\;x \geqslant 0,\;{x^T}F(x) = 0 $$ where F: IR n → IR n is a given monotone locally Lipschitzian function. From [11] and many subsequently published papers it is well-known that this problem can be transformed into an equivalent nonlinear (and ...
openaire +1 more source
Applications of Ekeland's principle to locally Lipschitzian functionals
2000The authors take into consideration the set \(E_{\varepsilon}\) of the points satisfying Ekeland's variational principle for a function \(f:D\to R\cup\{+\infty\},\) where \(D\) is a subset of a Banach space. More precisely, they give a sufficient condition under which the closed convex hull of \(E_{\varepsilon}\) coincides with the whole space and then
CAMMAROTO, Filippo +2 more
openaire +2 more sources
Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma
Ca-A Cancer Journal for Clinicians, 2020Aaron J Grossberg +2 more
exaly