On iterated function systems consisting of Kannan maps, Reich maps, Chatterjea type maps, and related results
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Publication:1684841
DOI10.1007/S11784-017-0419-ZzbMath1377.28010OpenAlexW2601285216MaRDI QIDQ1684841
Nguyen Van Dung, Adrian Petruşel
Publication date: 12 December 2017
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-017-0419-z
Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fractals (28A80)
Related Items (9)
Contractive affine generalized iterated function systems which are topologically contracting ⋮ A new approach to fractals via best proximity point ⋮ Iterated function systems consisting of continuous functions satisfying Banach's orbital condition ⋮ Some variants of Ćirić's multi-valued contraction principle ⋮ Interpolative operators: fractal to multivalued fractal ⋮ Generalized rational contractions in semi metric spaces via iterated function system ⋮ Hardy-Rogers type iterated function systems ⋮ New aspects concerning IFSs consisting of continuous functions satisfying Banach's orbital condition ⋮ Interpolation type iterated function systems
Cites Work
- Reich's iterated function systems and well-posedness via fixed point theory
- Reich-type iterated function systems
- Fixed points for multivalued contractions in \(b\)-metric spaces with applications to fractals
- Iterated function systems and well-posedness
- Fractals via iterated functions and multifunctions
- Multivalued fractals
- Fixed points, fixed sets and iterated multifunction systems for nonself multivalued operators
- Fractals of generalized \(F\)-Hutchinson operator in \(b\)-metric spaces
- Multivalued fractals and generalized multivalued contractions
- Self-similar sets and fractals generated by Ćirić type operators
- K-ITERATED FUNCTION SYSTEM
- A Comparison of Various Definitions of Contractive Mappings
- ANSWERS TO QUESTIONS ON ĆIRIĆ TYPE THEOREMS
- Some Remarks Concerning Contraction Mappings
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