Generalized enriched cyclic contractions with application to generalized iterated function system
The purpose of this article is to initiate a new class of cyclic contraction mappings and
establish a related fixed point theorem in the framework of a Banach space. To approximate …
establish a related fixed point theorem in the framework of a Banach space. To approximate …
Dimensions of new fractal functions and associated measures
M Verma, A Priyadarshi - Numerical Algorithms, 2023 - Springer
In this paper, we obtain a vector-valued fractal interpolation function in a more general
setting by using the Rakotch fixed point theory and the iterated function system. We also …
setting by using the Rakotch fixed point theory and the iterated function system. We also …
Iterated function systems: A comprehensive survey
arXiv:2211.14661v1 [math.PR] 26 Nov 2022 Page 1 Iterated Function Systems: A
Comprehensive Survey Ramen Ghosh ∗ Jakub Mareček † November 29, 2022 Abstract We …
Comprehensive Survey Ramen Ghosh ∗ Jakub Mareček † November 29, 2022 Abstract We …
Comments on “Fractal set of generalized countable partial iterated function system with generalized contractions via partial Hausdorff metric”
BV Prithvi, SK Katiyar - Topology and its Applications, 2024 - Elsevier
The purpose of this work is to fill a gap in the article Priya and Uthayakumar (2022)[13]. To
prove fractals (fixed points), the authors of that article tried to connect two independent …
prove fractals (fixed points), the authors of that article tried to connect two independent …
Transition phenomena for the attractor of an iterated function system
K Leśniak, N Snigireva, F Strobin, A Vince - Nonlinearity, 2022 - iopscience.iop.org
Iterated function systems (IFSs) and their attractors have been central in fractal geometry. If
the functions in the IFS are contractions, then the IFS is guaranteed to have a unique …
the functions in the IFS are contractions, then the IFS is guaranteed to have a unique …
Fractal hypersurfaces, affine Weyl groups, and wavelet sets
P Massopust - The Journal of Analysis, 2024 - Springer
Fractal hypersurfaces, affine Weyl groups, and wavelet sets | The Journal of Analysis Skip to
main content SpringerLink Account Menu Find a journal Publish with us Track your research …
main content SpringerLink Account Menu Find a journal Publish with us Track your research …
Generalized Kannan Maps with Application to Iterated Function System
BV Prithvi, SK Katiyar - Advanced Mathematical Analysis and its …, 2023 - taylorfrancis.com
After several generalizations of the Kannan map, the titular claim of yet another is one apart
with the ability to replace the source map. It is due to the incorporation of constant δ∈[1,∞) …
with the ability to replace the source map. It is due to the incorporation of constant δ∈[1,∞) …
The Hutchinson–Barnsley theory for iterated function system with bounded cyclic contractions
R Medhi, P Viswanathan - Chaos, Solitons & Fractals, 2023 - Elsevier
The existence of an invariant set, which forms the introductory part of the classical
Hutchinson–Barnsley theory of an Iterated Function System (IFS), has been recently …
Hutchinson–Barnsley theory of an Iterated Function System (IFS), has been recently …
On the code space and Hutchinson measure for countable iterated function system consisting of cyclic φ-contractions
R Medhi, P Viswanathan - Chaos, Solitons & Fractals, 2023 - Elsevier
Abstract The notion of Iterated Function System (IFS) plays a vital role in the theory of
fractals. The investigation of the code space, code map, and invariant measure associated …
fractals. The investigation of the code space, code map, and invariant measure associated …
Interpolation type iterated function systems
Interpolation type iterated function systems - ScienceDirect Skip to main contentSkip to article
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