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

DOI: 10.4236/oalib.1105245, PP. 1-14

Subject Areas: Mathematical Analysis

Keywords: K-Iteration Process, Opial’s Condition, Mean Non-Expansive Mapping, Quasi Non-Expansive Mapping

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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.

Cite this paper

Panwar, A. and Bhokal, R. P. (2019). Fixed Point Results for K-Iteration Using Non-Linear Type Mappings. Open Access Library Journal, 6, e5245. doi: http://dx.doi.org/10.4236/oalib.1105245.

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