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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 10 (2020), Article ID 3

Hybrid-type iteration scheme for approximating fixed points of Lipschitz α-hemicontractive mappings

I. K. Agwu, D. I. Igbokwe

PDF (292.4 KB) https://doi.org/10.28919/afpt/4442

Abstract

We propose a two-step iteration Scheme of hybrid-type for α-hemicontractive mappings and establish some weak and strong convergence theorems of the scheme to the fixed points of the mappings in real Hilbert spaces. Our results extend and generalize the results of Wang [18], compliments the results of Osilike and Onah [17] and other numerous results currently existing in literature.

Published
17 February 2020
Volume
10 (2020)
License
CC BY 3.0

Copyright © 2020 I. K. Agwu, D. I. Igbokwe. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

I. K. Agwu, D. I. Igbokwe, Hybrid-type iteration scheme for approximating fixed points of Lipschitz α-hemicontractive mappings, Adv. Fixed Point Theory 10 (2020), 3. https://doi.org/10.28919/afpt/4442

BibTeX
@article{Agwu2020,
  author  = {Agwu, I. K. and Igbokwe, D. I.},
  title   = {Hybrid-type iteration scheme for approximating fixed points of Lipschitz α-hemicontractive mappings},
  journal = {Adv. Fixed Point Theory},
  volume  = {10},
  year    = {2020},
  pages   = {3},
  doi     = {10.28919/afpt/4442}
}