IJPAM: Volume 109, No. 2 (2016)

MODIFIED NEW SIXTH-ORDER FIXED POINT ITERATIVE
METHODS FOR SOLVING NONLINEAR
FUNCTIONAL EQUATIONS

Waqas Nazeer$^1$, Muhmmad Tanveer$^2$, Kashif Rehman$^3$, Shin Min Kang$^4$
$^1$Division of Science and Technology
University of Education
Lahore 54000, PAKISTAN
$^2$Department of Mathematics and Statistics
The University of Lahore
Lahore 54000, PAKISTAN
$^3$Department of Mathematics
Lahore Leads University
Lahore 54810, PAKISTAN
$^4$Department of Mathematics and RINS
Gyeongsang National University
Jinju 52828, KOREA


Abstract. In this paper, we present a modified new sixth-order fixed point iterative method for solving nonlinear functional equations and analyzed. The modified new sixth-order fixed point iterative method has convergence of order six and efficiency index $1.8171$ which is larger than most of the existing methods and the methods discussed in Table 1. The modified new sixth-order fixed point iterative method converges faster than the methods discussed in Tables 1-6. The comparison tables demonstrate the faster convergence of the modified new sixth-order fixed point method.

Received: April 7, 2015

AMS Subject Classification: 65H05, 65D32

Key Words and Phrases: nonlinear equation, modified new sixth-order fixed point method, fixed point method, new second order iterative method

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DOI: 10.12732/ijpam.v109i2.5 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 109
Issue: 2
Pages: 223 - 233


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