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Study of the fractals generated by contractive mappings and their dimensions

open access: yesStudy of the fractals generated by contractive mappings and their dimensions
openaire   +1 more source

On Generalized Weakly G-Contraction Mapping in G-Metric Spaces

open access: yesComputers and Mathematics With Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Calogero Vetro   +2 more
exaly   +6 more sources

Generalized Contraction Mapping Principle in Intuitionistic Menger Spaces and Application to Differential Equations [PDF]

open access: yesApplied Mathematics and Mechanics (English Edition), 2007
Using the idea of Atanassov, we define the notion of intuitionistic Menger spaces as a netural generalizations of Menger spaces due to Menger. We also obtain a new generalized contraction mapping and utilize this contraction mapping to prove the ...
Adnan Tuna
exaly   +2 more sources
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Local generalizations of Banach’s contraction mapping principle

The Journal of Analysis, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Binayak S. Choudhury, Priyam Chakraborty
openaire   +1 more source

Generalized Θ-contractive fuzzy mappings

Journal of Intelligent & Fuzzy Systems, 2018
The aim of this paper is to obtain some common α -fuzzy fixed point theorems under generalized Θ-contraction in the setting of complete metric space. In this way, we generalize various results of literature including the main result of Hancer et al.
Jamshaid Ahmad   +2 more
openaire   +3 more sources

A general iterative algorithm for semigroups of nonexpansive mappings with generalized contractive mapping

Applied Mathematics and Computation, 2013
The purpose of this paper is to study the strong convergence of the implicit and composite viscosity iteration schemes to a unique common fixed point of nonexpansive semigroups T, which is a solution of some variational inequality under certain conditions.
Li-ping Yang, Wei-ming Kong
openaire   +2 more sources

On generalized Ri’s contraction mappings and its applications

Computational and Applied Mathematics, 2018
As stated in the abstract the authors generalize the Ri fixed point theorem mentioned there by the use of some lower semicontinuous function \(\varphi:X\to [0,\infty)\), where \((X,d)\) is a complete metric space. Namely, Ri's contraction type condition \(d(Tx,Ty)\leq \lambda(d(x,y))\), where \(\lambda:[0,\infty)\to [0,\infty)\) satisfies \(\lambda(0 ...
Kumrod, Pathaithep   +1 more
openaire   +2 more sources

Generic contractivity for a class of nonlinear mappings

LIBERTAS MATHEMATICA (new series), 2013
In a previous paper of ours we studied a class of nonlinear self-mappings of a complete metric space endowed with a natural metric. Using the notion of porosity, we showed that most elements of this class possess a unique fixed point which attracts all iterates uniformly.
Simeon Reich, Alexander J. Zaslavski
openaire   +1 more source

On some auxiliary mappings generated by nonexpansive and strictly pseudo-contractive mappings

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
COLAO, Vittorio   +2 more
openaire   +4 more sources

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