Results 121 to 130 of about 234 (166)

Second-order optimality conditions for nonlinear programs and mathematical programs. [PDF]

J Inequal Appl, 2017
Daidai I.
europepmc   +1 more source

Some of the next articles are maybe not open access.

Related searches:

Minimization of Locally Lipschitzian Functions

SIAM Journal on Optimization, 1991
Summary: This paper presents a globally convergent model algorithm for the minimization of a locally Lipschitzian function. The algorithm is built on an iteration function of two arguments, and the convergence theory is developed parallel to analogous results for the problem of solving systems of locally Lipschitzian equations.
Pang, Jong-Shi, Han, Shih-Ping, Rangaraj, Narayan   +2 more
openaire   +1 more source

Subdifferential Regularity of Directionally Lipschitzian Functions

Canadian Mathematical Bulletin, 2000
AbstractFormulas for the Clarke subdifferential are always expressed in the form of inclusion. The equality form in these formulas generally requires the functions to be directionally regular. This paper studies the directional regularity of the general class of extended-real-valued functions that are directionally Lipschitzian.
Bounkhel, M., Thibault, L.
openaire   +2 more sources

On the qualitative approximation of Lipschitzian functions

Nonlinear Analysis: Theory, Methods & Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alonso, María, Marín, Luis Rodríguez
openaire   +1 more source

A note on locally Lipschitzian functions

Mathematical Programming, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pritchard, G., Gürkan, G., Ozge, A.Y.
openaire   +3 more sources

Lipschitzian semigroups and abstract functional differential equations

Nonlinear Analysis: Theory, Methods & Applications, 2010
The authors consider the abstract functional differential equation \[ (FDE)\quad u'(t)=Au(t)+\Phi u_t, \quad t>0,\quad u(0)=x,\quad u_0=f, \] where \(A\) is a closed and densely defined linear operator, \(\Phi:L^p([-1,0];X)\to X\) is a globally Lipschitz operator, \(f\in L^p([-1,0];X)\) and \(u_t(\sigma):=u(t+\sigma)\). By assuming that the space \(X\)
Song, Xueli, Peng, Jigen
openaire   +2 more sources

Paraconvexity of the graphs of lipschitzian functions

Journal of Mathematical Sciences, 1996
Following \textit{E. Michael} [Math. Scand. 7, 372-376 (1960; Zbl 0093.12001)] a closed subset \(P\) of a Banach space \(B\) is called \(\alpha\)-paraconvex if for \(x\in B\), \(r> \text{dist} (x,P)\) and \(y\in\text{conv} (P\cap K(x,r))\) we have \(\text{dist} (y,P)\leq \alpha \cdot r\), where \(K(x,r): =\{z\in B:|z-x |\leq r\}\).
openaire   +1 more source