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Nonlinear iterative algorithms for quasi contraction mapping in modular space
-
Robabe Moradi
and
Abdolrahman Razani
Published/Copyright:
August 19, 2015
Abstract
In this paper, we introduce new nonlinear iterative algorithms. These algorithms are used to study the convergence of generated iterative sequences in modular spaces. Moreover, we introduce a new double sequence iteration and prove that sequences converge strongly to a fixed point of a ρ-quasi contraction mapping in modular spaces. Finally, some illustrative numerical examples (using the Matlab software) are presented.
Keywords: ρ-quasi contraction mapping; modular space; double sequence; nonlinear iterative algorithm; strongly convergence
The authors would like to thank the referee for the valuable comments and suggestions to improve the quality of the paper.
Received: 2013-12-24
Revised: 2015-1-22
Accepted: 2015-1-23
Published Online: 2015-8-19
Published in Print: 2016-3-1
© 2016 by De Gruyter
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Keywords for this article
ρ-quasi contraction mapping;
modular space;
double sequence;
nonlinear iterative algorithm;
strongly convergence
Articles in the same Issue
- Frontmatter
- The annihilating-ideal graph of a lattice
- On derivations and commutativity of prime rings with involution
- On the traces of certain classes of permuting mappings in rings
- Measurability properties of certain paradoxical subsets of the real line
- Some classical Tauberian theorems for (C,1,1,1) summable triple sequences
- Approximation by trigonometric polynomials in the framework of variable exponent grand Lebesgue spaces
- Irrationality measures for almost periodic continued fractions
- Elementary volume and measurability properties of additive functions
- On (n+1)-Hom-Lie algebras induced by n-Hom-Lie algebras
- Generalization of Hermite–Hadamard type inequalities for n-times differentiable functions through preinvexity
- Nonlinear iterative algorithms for quasi contraction mapping in modular space
- n-dimensional quintic and sextic functional equations and their stabilities in Felbin type spaces
- Some remarks on quasi-Frobenius rings
