Abstract
The aim of this article is to define a new Jungck-Kirk type iteration method and to examine the convergence result under appropriate conditions together with other Jungck-Kirk type iteration methods in the literature. It is also to analyze whether the newly defined iteration method is stable. In addition, it has been shown through numerical examples that the new iteration method has a better convergence rate than the others. Finally, to show the validity of convergence and stability results, some examples are given. The results obtained in this paper may be interpreted as a refinement and improvement of the previously known results.
Keywords
Convergence (economics)
Type (biology)
Applied mathematics
Rate of convergence
Stability (learning theory)
Power iteration
Fixed-point iteration
Mathematics
Computer science
Iterative method
Mathematical optimization
Fixed point
Mathematical analysis
Subject Areas
Iterative Methods for Nonlinear Equations
·Numerical Analysis ·Physical Sciences
Fractional Differential Equations Solutions
·Modeling and Simulation ·Physical Sciences
Advanced Optimization Algorithms Research
·Numerical Analysis ·Physical Sciences
Citations by Year
2022: 1
2023: 1
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