# Multivalued fractals in b-metric spaces

Monica Boriceanu; Marius Bota; Adrian Petruşel

Open Mathematics (2010)

- Volume: 8, Issue: 2, page 367-377
- ISSN: 2391-5455

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topMonica Boriceanu, Marius Bota, and Adrian Petruşel. "Multivalued fractals in b-metric spaces." Open Mathematics 8.2 (2010): 367-377. <http://eudml.org/doc/269747>.

@article{MonicaBoriceanu2010,

abstract = {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.},

author = {Monica Boriceanu, Marius Bota, Adrian Petruşel},

journal = {Open Mathematics},

keywords = {Multivalued operator; Fixed point; Strict fixed point; b-metric space; Self-similar set; Fractal operator; Multi-fractal operator; multivalued operator; fixed point; strict fixed point; -metric space; self-similar set; fractal operator; multi-fractal operator},

language = {eng},

number = {2},

pages = {367-377},

title = {Multivalued fractals in b-metric spaces},

url = {http://eudml.org/doc/269747},

volume = {8},

year = {2010},

}

TY - JOUR

AU - Monica Boriceanu

AU - Marius Bota

AU - Adrian Petruşel

TI - Multivalued fractals in b-metric spaces

JO - Open Mathematics

PY - 2010

VL - 8

IS - 2

SP - 367

EP - 377

AB - 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.

LA - eng

KW - Multivalued operator; Fixed point; Strict fixed point; b-metric space; Self-similar set; Fractal operator; Multi-fractal operator; multivalued operator; fixed point; strict fixed point; -metric space; self-similar set; fractal operator; multi-fractal operator

UR - http://eudml.org/doc/269747

ER -

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