Results 1 to 10 of about 1,716 (212)

On Nonsmooth Global Implicit Function Theorems for Locally Lipschitz Functions from Banach Spaces to Euclidean Spaces

Abstract and Applied Analysis, 2022
In this paper, we establish a generalization of the Galewski-Rădulescu nonsmooth global implicit function theorem to locally Lipschitz functions defined from infinite dimensional Banach spaces into Euclidean spaces.
Guy Degla, Cyrille Dansou, Fortuné Dohemeto   +2 more
doaj   +1 more source

Results on existence of solutions in nonlocal partial functional integrodifferential equations with finite delay in nondense domain

Alexandria Engineering Journal, 2023
In this work, to show the existence and uniqueness solution of functional integrodifferential equation with nonlocal condition and finite delay function.
Kottakkaran Sooppy Nisar, K. Munusamy, C. Ravichandran   +2 more
doaj   +1 more source

An extension of the quasi-Newton method for minimizing locally Lipschitz functions [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2019
We present a method to minimize locally Lipschitz functions. At first, a local quadratic model is developed to approximate a locally Lipschitz function. This model is constructed by using the ϵ-subdifferential.
Z. Akbari
doaj   +1 more source

On a New Generalization of Bernstein-Type Rational Functions and Its Approximation

Mathematics, 2022
In this study, we introduce a new generalization of a Bernstein-type rational function possessing better estimates than the classical Bernstein-type rational function.
Esma Yıldız Özkan, Gözde Aksoy
doaj   +1 more source

Approximate Diagonal Integral Representations and Eigenmeasures for Lipschitz Operators on Banach Spaces

Mathematics, 2022
A new stochastic approach for the approximation of (nonlinear) Lipschitz operators in normed spaces by their eigenvectors is shown. Different ways of providing integral representations for these approximations are proposed, depending on the properties of
Ezgi Erdoğan, Enrique A. Sánchez Pérez   +1 more
doaj   +1 more source

A new trust region method for minimizing locally lipschitz functions [PDF]

تصمیم گیری و تحقیق در عملیات, 2020
In this paper, we present a new trust region method for unconstrained optimization problems with locally Lipschitz continuous, nonconvex functions. In this method, in the ratio test, the current objective function value is replaced with maximum of some ...
Zohreh Akbari
doaj   +1 more source

Distributed convex optimization via proportional-integral-differential algorithm

Measurement + Control, 2022
This paper studies the distributed convex optimization problem, where the global utility function is the sum of local cost functions associated to the individual agents.
Wei Zhu, Haibao Tian
doaj   +1 more source

The oscillation of separately locally Lipschitz functions

Karpatsʹkì Matematičnì Publìkacìï, 2013
We prove that a function which dened on the product of two metric Baire spaces is the oscillation of some separately locally Lipschitz function if and only if it is an upper semicontinuous non-negative function which has a crosswise nowhere dense closure
V. H. Herasymchuk, O. V. Maslyuchenko
doaj   +1 more source

Existence of fixed points on compact epilipschitz sets without invariance conditions

Fixed Point Theory and Applications, 2005
We provide a new result of existence of equilibria of a single-valued Lipschitz function f on a compact set K of ℝn which is locally the epigraph of a Lipschitz functions (such a set is called epilipschitz set).
Marc Quincampoix, Mikhail Kamenskii
doaj   +2 more sources

Discretization methods for nonconvex differential inclusions

Electronic Journal of Qualitative Theory of Differential Equations, 2009
We prove the existence of solutions for the differential inclusion $\dot x(t)\in F(t,x(t)) + f(t,x(t))$ for a multifunction $F$ upper semicontinuous with compact values contained in the generalized Clarke gradient of a regular locally Lipschitz function ...
M. Yarou
doaj   +1 more source