Generalized fractal transforms and self-similar objects in cone metric spaces

DOI10.1016/j.camwa.2012.02.011zbMath1268.54008OpenAlexW2082973117MaRDI QIDQ356045

Edward R. Vrscay, Franklin Mendivil, Davide La Torre, Herb E. Kunze

Publication date: 25 July 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.02.011

zbMATH Keywords

self-similaritycompletenesscone metric spacecontractivitydigital image analysis

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Metric spaces, metrizability (54E35) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Fractals (28A80)

Related Items (11)

Quasi-contraction of Perov type ⋮ An improved fast iterative shrinkage thresholding algorithm with an error for image deblurring problem ⋮ Common fixed point results for mappings of Perov type ⋮ Fixed point results in quasi-cone metric spaces ⋮ The concept of cone \(b\)-Banach space and fixed point theorems ⋮ Non-solid cone \(b\)-metric spaces over Banach algebras and fixed point results of contractions with vector-valued coefficients ⋮ Split monotone variational inclusion with errors for image-feature extraction with multiple-image blends problem ⋮ Fixed point theorems for multi-valued MAPS in cone metric spaces ⋮ Some extension results on cone \(b\)-metric spaces over Banach algebras via \(\varphi\)-operator ⋮ Perov-type contractions ⋮ New fixed point results for \(E\) -metric spaces

Cites Work

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• A generalized fractal transform for measure-valued images
• Fixed point theory in cone metric spaces obtained via the scalarization method
• A note on cone metric fixed point theory and its equivalence
• Contractive multifunctions, fixed point inclusions and iterated multifunction systems
• Cone metric spaces and fixed point theorems of contractive mappings
• A common fixed point theorem in abstract spaces
• Remarks on convex cones
• Fractal-Based Methods in Analysis
• MINKOWSKI-ADDITIVE MULTIMEASURES, MONOTONICITY AND SELF-SIMILARITY
• Duality in Vector Optimization
• "Chaos Games" for Iterated Function Systems with Grey Level Maps
• Continuity properties of attractors for iterated fuzzy set systems

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