Some Higher Order Algorithms for Solving Fixed Point Problems

Authors

  • Asif Waheed Department of Mathematics, COMSATS Institute of Information Technology, Attock
  • Syed Tauseef Mohyud Din Department of Mathematics, University of Islamabad, Islamabad
  • Muhammad Zeb Department of Mathematics, COMSATS Institute of Information Technology, Attock
  • Muhammad Usman Department of Mathematics, Peking University, Beijing

DOI:

https://doi.org/10.26713/cma.v9i1.696

Keywords:

Higher order, Algorithms, Fixed point problems, Homotopy perturbation method, Nonlinear equations, Efficiency index, Convergences order

Abstract

In this paper, some higher order algorithms have been introduced for solving fixed point problems. These algorithms have been developed by Homotopy Perturbation Method. New algorithms are tested on diversified nonlinear problems. The results are very promising and useful. Comparison of numerical results along with existing proficient techniques explicitly reflects the very high level of accuracy of developed iterative schemes.

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Published

30-04-2018
CITATION

How to Cite

Waheed, A., Din, S. T. M., Zeb, M., & Usman, M. (2018). Some Higher Order Algorithms for Solving Fixed Point Problems. Communications in Mathematics and Applications, 9(1), 41–52. https://doi.org/10.26713/cma.v9i1.696

Issue

Vol. 9 No. 1 (2018)

Section

Research Article

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