Multivalued fractals in b-metric spaces

• Autorzy: Monica Boriceanu , Marius Bota , Adrian Petruşel
• Języki publikacji: EN

Abstrakty

EN

Fractals and multivalued fractals play an important role in biology, quantum mechanics, computer graphics, dynamical systems, astronomy and astrophysics, geophysics, etc. Especially, there are important consequences of the iterated function (or multifunction) systems theory in several topics of applied sciences. It is known that examples of fractals and multivalued fractals are coming from fixed point theory for single-valued and multivalued operators, via the so-called fractal and multi-fractal operators. On the other hand, the most common setting for the study of fractals and multi-fractals is the case of operators on complete or compact metric spaces. The purpose of this paper is to extend the study of fractal operator theory for multivalued operators on complete b-metric spaces.

Słowa kluczowe

EN

Multivalued operator; Fixed point; Strict fixed point; b-metric space; Self-similar set; Fractal operator; Multi-fractal operator

Kategorie tematyczne

• 47H10: Fixed-point theorems
• 54H25: Fixed-point and coincidence theorems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 2
• Strony: 367-377

Daty

wydano

2010-04-01

online

2010-04-14

Twórcy

autor

Monica Boriceanu

• Babeş-Bolyai University

autor

Marius Bota

• Babeş-Bolyai University

autor

Adrian Petruşel

• Babeş-Bolyai University

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Identyfikatory

DOI

10.2478/s11533-010-0009-4