6533b82afe1ef96bd128b683
RESEARCH PRODUCT
Generalized iterated function systems on the spacel∞(X)
Nicolae Adrian Seceleansubject
Discrete mathematicsHutchinson operatorMetric spaceIterated function systemCollage theoremApplied MathematicsCountable setContraction mappingTopological conjugacySpace (mathematics)AnalysisMathematicsdescription
Abstract In the last decades there has been a current effort to extend the classical Hutchinson theory of iterated function systems composed by contractions on a metric space X into itself to more general spaces and infinitely many mappings. In this paper we consider the (countable) iterated function systems consisting of some generalized contractions on the product space X I into X , where I is an arbitrary set of natural numbers. Some approximations of the attractors of the respective iterated function systems are given.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-02-01 | Journal of Mathematical Analysis and Applications |