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A Convergence Result for a Three-Step Iterative Algorithm

Year 2019, Volume: 2 Issue: 1, 20 - 21, 30.10.2019

Harun Polat , Faik Gürsoy

Abstract

We prove under some mild conditions that iterative algorithm (1.7) of [1] converges strongly to the fixed point of a member in the class of weak contraction mappings.

Keywords

Fixed Point Strong convergence Iterative algorithm

References

  • [1] V. Karakaya, Y. Atalan, K. Do˘gan, N. El Houda Bouzara, Some fixed point results for a new three steps iteration process in Banach spaces, Fixed Point Theory, 18 (2017), 625-640.
  • [2] V. Berinde, On the approximation of fixed points of weak contractive mappings, Carpathian J. Math., 19 (2003), 7-22.

Year 2019, Volume: 2 Issue: 1, 20 - 21, 30.10.2019

Harun Polat , Faik Gürsoy

Abstract

References

  • [1] V. Karakaya, Y. Atalan, K. Do˘gan, N. El Houda Bouzara, Some fixed point results for a new three steps iteration process in Banach spaces, Fixed Point Theory, 18 (2017), 625-640.
  • [2] V. Berinde, On the approximation of fixed points of weak contractive mappings, Carpathian J. Math., 19 (2003), 7-22.
There are 2 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Conference Paper
Authors

Harun Polat 0000-0003-3955-9197

Faik Gürsoy 0000-0002-7118-9088

Acceptance Date October 7, 2019
Publication Date October 30, 2019
Published in Issue Year 2019 Volume: 2 Issue: 1

Cite

APA Polat, H., & Gürsoy, F. (2019). A Convergence Result for a Three-Step Iterative Algorithm. Conference Proceedings of Science and Technology, 2(1), 20-21.
AMA Polat H, Gürsoy F. A Convergence Result for a Three-Step Iterative Algorithm. Conference Proceedings of Science and Technology. October 2019;2(1):20-21.
Chicago Polat, Harun, and Faik Gürsoy. “A Convergence Result for a Three-Step Iterative Algorithm”. Conference Proceedings of Science and Technology 2, no. 1 (October 2019): 20-21.
EndNote Polat H, Gürsoy F (October 1, 2019) A Convergence Result for a Three-Step Iterative Algorithm. Conference Proceedings of Science and Technology 2 1 20–21.
IEEE H. Polat and F. Gürsoy, “A Convergence Result for a Three-Step Iterative Algorithm”, Conference Proceedings of Science and Technology, vol. 2, no. 1, pp. 20–21, 2019.
ISNAD Polat, Harun - Gürsoy, Faik. “A Convergence Result for a Three-Step Iterative Algorithm”. Conference Proceedings of Science and Technology 2/1 (October2019), 20-21.
JAMA Polat H, Gürsoy F. A Convergence Result for a Three-Step Iterative Algorithm. Conference Proceedings of Science and Technology. 2019;2:20–21.
MLA Polat, Harun and Faik Gürsoy. “A Convergence Result for a Three-Step Iterative Algorithm”. Conference Proceedings of Science and Technology, vol. 2, no. 1, 2019, pp. 20-21.
Vancouver Polat H, Gürsoy F. A Convergence Result for a Three-Step Iterative Algorithm. Conference Proceedings of Science and Technology. 2019;2(1):20-1.