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

I. K. Agwu, D. I. Igbokwe
Published 2020-02-17
DOI 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.
Full Text: PDF

How to 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), Article ID 3. https://doi.org/10.28919/afpt/4442

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.