Fixed Point Results for K-Iteration Using Non-Linear Type Mappings - Open Access Library Journal

OALibJ > Vol.6 No.3, March 2019

Open Access Library Journal

Volume 6, Issue 3 (March 2019)

ISSN Print: 2333-9705 ISSN Online: 2333-9721

Google-based Impact Factor: 1.18 Citations

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

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DOI: 10.4236/oalib.1105245 569 Downloads 1,225 Views Citations

Author(s)

Anju Panwar¹, Ravi Parkash Bhokal^2*

Affiliation(s)

¹Department of Mathematics, M. D. U. Rohtak, Haryana, India.
²Government College, Dujana, Jhajjar (Haryana), India.

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.

KEYWORDS

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

Share and Cite:

Panwar, A. and Bhokal, R. (2019) Fixed Point Results for K-Iteration Using Non-Linear Type Mappings. Open Access Library Journal, 6, 1-14. doi: 10.4236/oalib.1105245.

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[2]	Recent advances in nanotechnology approaches for non-viral gene therapy
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[3]	FIXED POINT RESULTS FOR NON-LINEAR TYPE MAPPINGS

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