Results 131 to 140 of about 231 (170)

Estimation type results related to Fejér inequality with applications. [PDF]

open access: yesJ Inequal Appl, 2018
Rostamian Delavar M   +2 more
europepmc   +1 more source

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.
Narayan Rangaraj
exaly   +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 \(K(x,r): =\{z\in B:|z-x |\leq r\}\).
P V Semenov, Semenov P V
exaly   +2 more sources

On Fréchet differentiability of Lipschitzian functions on spaces with gaussian measures [PDF]

open access: yesDoklady Mathematics, 2007
There is a Borel function \(f\) on \({\mathbb R}^{\infty}\) that is Lipschitz with constant~1 along the Cameron-Martin space such that the set of points of Fréchet differentiablity along \(H\) for \(f\) has \(\gamma\)-measure zero, where \(\gamma\) is the standard Gaussian product measure on~\({\mathbb R}^{\infty}\).
Vladimir Bogachev   +2 more
exaly   +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

A trust region algorithm for minimization of locally Lipschitzian functions

Mathematical Programming, 1994
The 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.
, Liqun Qi, Qi Liqun
exaly   +2 more sources

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