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

• Autorzy: Alleche B. , Nachi K.

Identyfikatory

DOI

http://dx.doi.Org/10.7494/OpMath.2015.35.4.427

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

multifunction; fixed point; Pompeiu-Hausdorff metric; bounded proximal convergence; differential inclusion

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2015
• Tom: Vol. 35, no. 4
• Strony: 427--443
• Opis fizyczny: Bibliogr. 37 poz.

Twórcy

autor

Alleche B.

• Laboratoire de Mecanique Physique et Modelisation Mathematique Universite de Medea, Algeria

autor

Nachi K.

• Laboratoire de Mathematiques et ses Applications Universite d'Oran, Algeria

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