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2. Fixed Point Results for K-Iteration Using Non-Linear Type Mappings

Author

Anju Panwar and Ravi Parkash Bhokal

Subjects
Nonlinear system, Rate of convergence, Convergence (routing), Process (computing), Applied mathematics, Fixed point, Type (model theory), Expansive, Iteration process, Mathematics
Abstract

In this paper we establish convergence and stability results using general contractive condition, quasi-nonexpansive mapping and mean non expansive mapping for K-iteration process. We shall also generalize the K-iteration process for a pair of distinct mappings and with the help of example we claim that the generalized iteration process has better convergence rate than the K-iteration process for single mapping and some of the existing iteration processes. Suitable examples are given in the support of main results.

Published
2019

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