Fixed point theorems for nonlinear contractions with applications to iterated function systems

DOI10.4995/agt.2018.7918zbMath1489.54193OpenAlexW2797525188MaRDI QIDQ4637642

Rajendra Pant

Publication date: 25 April 2018

Published in: Applied General Topology (Search for Journal in Brave)

Full work available at URL: https://polipapers.upv.es/index.php/AGT/article/view/7918

zbMATH Keywords

self-similarityfractalsiterated function systemsSuzuki-type contraction

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fractals (28A80)

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On some fixed point results for $(alpha, beta)$-Berinde-$varphi$-Contraction mapppings with applications

Cites Work

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• Reich's iterated function systems and well-posedness via fixed point theory
• On Krasnoselskii fixed point theorem and fractal
• Generating iterated function systems of some planar self-similar sets
• General common fixed point theorems and applications
• Edelstein-Suzuki-type fixed point results in metric and abstract metric spaces
• Attractors of generalized IFSs that are not attractors of IFSs
• Iterated function systems and stability of variational problems on self-similar objects
• Fractals via iterated functions and multifunctions
• The eigenvalue problem for linear and affine iterated function systems
• Topological version of generalized (infinite) iterated function systems
• A new fixed point theorem in the fractal space
• Some similarity between contractions and Kannan mappings
• Three fixed point theorems for generalized contractions with constants in complete metric spaces
• Wavelets for iterated function systems
• Fixed point theory for a new type of contractive multivalued operators
• Fixed points for multivalued mappings and the metric completeness
• Iterated function systems and the two-slit experiment of quantum mechanics
• Fractals in geophysics
• Iterated function systems and the code space
• From quantum entropy to iterated function systems
• Generalized iterated function systems on the space \(l^\infty(X)\)
• Two generalizations of some fixed point theorems
• A class of nonlinear iterated function system attractors
• Asymptotic height optimization for topical IFS, Tetris heaps, and the finiteness conjecture
• K-ITERATED FUNCTION SYSTEM
• A Comparison of Various Definitions of Contractive Mappings
• Equivalence of some contractivity properties over metrical structures
• ON A CERTAIN GENERALISATION OF THE ITERATED FUNCTION SYSTEM
• A generalized Banach contraction principle that characterizes metric completeness
• On Nonlinear Contractions