Research Article

Convergence of a Four-Step Iteration Process for G-nonexpansive Mappings in Banach Spaces with a Digraph

Volume: 4 Number: 2 July 31, 2023
EN

Convergence of a Four-Step Iteration Process for G-nonexpansive Mappings in Banach Spaces with a Digraph

Abstract

This review reckons with iterative scheme of Thianwan to approximate a common fixed point for four G-nonexpansive mappings (tersely G-nm). We verify several convergence results for in this way mappings in Banach space by dint of a digraph.

Keywords

References

  1. 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.
  2. Jachymski J., The contraction principle for mappings on a metric space with a graph, Proceeding of the American Mathematical Society, 136, 1359-1373, 2008.
  3. 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.
  4. Tripak O., Common fixed points of Gnonexpansive mappings on Banach spaces with a graph, Fixed Point Theory and Applications, 2016:87, 2016.
  5. 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.
  6. 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.
  7. 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.
  8. 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

Publication Date

July 31, 2023

Submission Date

January 10, 2023

Acceptance Date

June 16, 2023

Published in Issue

Year 2023 Volume: 4 Number: 2

APA
Yolacan, E. (2023). Convergence of a Four-Step Iteration Process for G-nonexpansive Mappings in Banach Spaces with a Digraph. Fundamentals of Contemporary Mathematical Sciences, 4(2), 96-106. https://doi.org/10.54974/fcmathsci.1231857
AMA
1.Yolacan E. Convergence of a Four-Step Iteration Process for G-nonexpansive Mappings in Banach Spaces with a Digraph. FCMS. 2023;4(2):96-106. doi:10.54974/fcmathsci.1231857
Chicago
Yolacan, Esra. 2023. “Convergence of a Four-Step Iteration Process for G-Nonexpansive Mappings in Banach Spaces With a Digraph”. Fundamentals of Contemporary Mathematical Sciences 4 (2): 96-106. https://doi.org/10.54974/fcmathsci.1231857.
EndNote
Yolacan E (July 1, 2023) Convergence of a Four-Step Iteration Process for G-nonexpansive Mappings in Banach Spaces with a Digraph. Fundamentals of Contemporary Mathematical Sciences 4 2 96–106.
IEEE
[1]E. Yolacan, “Convergence of a Four-Step Iteration Process for G-nonexpansive Mappings in Banach Spaces with a Digraph”, FCMS, vol. 4, no. 2, pp. 96–106, July 2023, doi: 10.54974/fcmathsci.1231857.
ISNAD
Yolacan, Esra. “Convergence of a Four-Step Iteration Process for G-Nonexpansive Mappings in Banach Spaces With a Digraph”. Fundamentals of Contemporary Mathematical Sciences 4/2 (July 1, 2023): 96-106. https://doi.org/10.54974/fcmathsci.1231857.
JAMA
1.Yolacan E. Convergence of a Four-Step Iteration Process for G-nonexpansive Mappings in Banach Spaces with a Digraph. FCMS. 2023;4:96–106.
MLA
Yolacan, Esra. “Convergence of a Four-Step Iteration Process for G-Nonexpansive Mappings in Banach Spaces With a Digraph”. Fundamentals of Contemporary Mathematical Sciences, vol. 4, no. 2, July 2023, pp. 96-106, doi:10.54974/fcmathsci.1231857.
Vancouver
1.Esra Yolacan. Convergence of a Four-Step Iteration Process for G-nonexpansive Mappings in Banach Spaces with a Digraph. FCMS. 2023 Jul. 1;4(2):96-106. doi:10.54974/fcmathsci.1231857

19113 FCMS is licensed under the Creative Commons Attribution 4.0 International Public License.