Convergence of a Four-Step Iteration Process for G-nonexpansive Mappings in Banach Spaces with a Digraph
Abstract
Keywords
References
- Kettapun A., Kananthai A., Suantai S., A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces, Computers and Mathematics with Applications, 60, 1430-1439, 2010.
- Jachymski J., The contraction principle for mappings on a metric space with a graph, Proceeding of the American Mathematical Society, 136, 1359-1373, 2008.
- Alfuraidan M.R., Khamsi M.A., Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph, Fixed Point Theory and Applications, 2015:44, 2015.
- Tripak O., Common fixed points of Gnonexpansive mappings on Banach spaces with a graph, Fixed Point Theory and Applications, 2016:87, 2016.
- Suparatulatorn R., Cholamjiak W., Suantai S., A modified Siteration process for Gnonexpansive mappings in Banach spaces with a graph, Numerical Algorithms, 77, 479-490, 2018.
- Hunde T.W., Sangago M.G., Zegeye H., Approximation of a common fixed point of a family of Gnonexpansive mappings in Banach spaces with a graph, International Journal of Advances in Mathematics, 6, 137-152, 2017.
- Sridarat P., Suparatulatorn R., Suantai S., Cho Y.J., Convergence analysis of SPiteration for Gnonexpansive mappings with directed graphs, Bulletin of the Malaysian Mathematical Sciences Society, 19, 1-20, 2018.
- Alfuraidan M.R., Fixed points of monotone nonexpansive mappings with a graph, Fixed Point Theory and Applications, 2015:49, 2015.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Esra Yolacan
*
0000-0002-1655-0993
Türkiye
Publication Date
July 31, 2023
Submission Date
January 10, 2023
Acceptance Date
June 16, 2023
Published in Issue
Year 2023 Volume: 4 Number: 2