Abstract
We propose a new Jungck-S iteration method for a class of quasi-contractive operators on a convex metric space and study its strong convergence, rate of convergence and stability. We also provide conditions under which convergence of this method is equivalent to Jungck-Ishikawa iteration method. Some numerical examples are provided to validate the theoretical findings obtained herein. Our results are refinement and extension of the corresponding ones existing in the current literature.
Keywords
Convergence (economics)
Mathematics
Coincidence
Metric (unit)
Stability (learning theory)
Extension (predicate logic)
Applied mathematics
Regular polygon
Class (philosophy)
Point (geometry)
Rate of convergence
Mathematical optimization
Space (punctuation)
Current (fluid)
Metric space
Computer science
Mathematical analysis
Geometry
Subject Areas
Fixed Point Theorems Analysis
·Geometry and Topology ·Physical Sciences
Optimization and Variational Analysis
·Computational Theory and Mathematics ·Physical Sciences
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