Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Pompeiu-Hausdorff metric

Sortuj według:

Ogranicz wyniki do:

More on the behaviors of fixed points sets of multifunction and applications

Alleche B., Nachi K.

Opuscula Mathematica

2015

Vol. 35, no. 4

427--443

In this paper, we study the behaviors of fixed points sets of non necessarily pseudo-contractive multifunctions. Rather than comparing the images of the involved multifunctions, we make use of some conditions on the fixed points sets to establish general results on their stability and continuous dependence. We illustrate our results by applications to differential inclusions and give stability results of fixed points sets of non necessarily pseudo-contractive multifunctions with respect to the bounded proximal convergence.

A fixed point approach to functional-integral set equations

Tise I. C.

Demonstratio Mathematica

2010

Vol. 43, nr 4

815-826

Let Pcp, cv(Rn) be the family of all nonempty compact convex subsets of the real n-dimensional space Rn endowed with the Pompeiu-Hausdorff metric H. We consider the following Cauchy problem with respect to a set differential equation: {DHU = F(t,U), t ∈ J U(t0) = U0 where U0 ∈ Pcp,cv(Rn), t0 (...) 0, J = [t0, t0 + a], a > 0, DH is the Hukuhara derivative of U and F ∈ C(J × Pcp,cv(Rn), Pcp,cv(Rn)). The aim of the article is to present existence, uniqueness, approximation and data dependence results for the solution of some set functional-differential Cauchy problems by a fixed point approach.