Dipartimento di Matematica, Universita della Calabria 87036 Arcavacata di Rende (CS), Italy; Department of Mathematics, King Abdulaziz University P.O. Box 80203, 21589 Jeddah, Saudi Arabia
In this paper, we introduce a Halpern’s type method to approximate common fixed points of a nonexpansive mapping T and a strongly quasi-nonexpansive mappings S, defined in a Hilbert space, such that I − S is demiclosed at 0. The result shows as the same algorithm converges to different points, depending on the assumptions of the coefficients. Moreover, a numerical example of our iterative scheme is given.
Falset, J. G., Llorens-Fuster, E., Marino, G., & Rugiano, A. (2016). On Strong Convergence of Halpern’s Method for Quasi-Nonexpansive Mappings in Hilbert Spaces. Mathematical Modelling and Analysis, 21(1), 63-82. https://doi.org/10.3846/13926292.2016.1132787
Authors who publish with this journal agree to the following terms
that this article contains no violation of any existing copyright or other third party right or any material of a libelous, confidential, or otherwise unlawful nature, and that I will indemnify and keep indemnified the Editor and THE PUBLISHER against all claims and expenses (including legal costs and expenses) arising from any breach of this warranty and the other warranties on my behalf in this agreement;
that I have obtained permission for and acknowledged the source of any illustrations, diagrams or other material included in the article of which I am not the copyright owner.
on behalf of any co-authors, I agree to this work being published in the above named journal, Open Access, and licenced under a Creative Commons Licence, 4.0 https://creativecommons.org/licenses/by/4.0/legalcode. This licence allows for the fullest distribution and re-use of the work for the benefit of scholarly information.
For authors that are not copyright owners in the work (for example government employees), please contact VILNIUS TECHto make alternative agreements.
