Multivalued fractals in b-metric spaces

被引：202
|
作者：
Boriceanu, Monica [1 ]
Bota, Marius [2 ]
Petrusel, Adrian [1 ]
机构：
[1] Univ Babes Bolyai, Dept Appl Math, R-3400 Cluj Napoca, Romania
[2] Univ Babes Bolyai, Dept Business, R-3400 Cluj Napoca, Romania
来源：
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2010年 / 8卷 / 02期
关键词：
Multivalued operator; Fixed point; Strict fixed point; b-metric space; Self-similar set; Fractal operator; Multi-fractal operator; ITERATED FUNCTION SYSTEMS; THEOREM;
D O I：
10.2478/s11533-010-0009-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：367 / 377
页数：11
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