Research Article

ITERATION SCHEME FOR APPROXIMATING FIXED POINTS OF G-NONEXPANSIVE MAPS ON BANACH SPACES VIA A DIGRAPH

Number: 053 June 30, 2023
EN

ITERATION SCHEME FOR APPROXIMATING FIXED POINTS OF G-NONEXPANSIVE MAPS ON BANACH SPACES VIA A DIGRAPH

Abstract

In this writing, an influential modified multistep iterative process for finding a common fixed point of G-nonexpansive maps is presented. Some convergence theorems are constructed by Property P for the recommended schema on Banach spaces by which digraph. Two numerical examples are given to illustrate the convergence behavior and the validity of the process. The achieved conclusions enlarge, generalise and complement some well-known fixed point results from the literature.

Keywords

References

  1. [1] Khan, A. R., Domlo, AA., and Fukhar-ud-din, H. (2008). Common fixed point noor iteration for a finite family of asymptotically quasi-nonexpansive mappings in banach spaces. The Journal of Mathematical Analysis and Applications, 341(1), 1-11.
  2. [2] Yıldırım, İ., and Özdemir, M. (2009). A new iterative process for common fixed points of finite families of non-self-asymptotically non-expansive mappings. Nonlinear Analysis: Theory, Methods & Applications, 71 (3-4), 991-999.
  3. [3] Kettapun, A., Kananthai, A., and Suantai, S. (2010). 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.
  4. [4] Jachymski, J. (2008). The contraction principle for mappings on a metric space with a graph. Proceedings of the American Mathematical Society, 136, 1359-1373.
  5. [5] Aleomraninejad, S. M. A., Rezapour, S., and Shahzad, N. (2012). Some fixed point result on a metric space with a graph. Topology and its Applications, 159, 659-663.
  6. [6] Alfuraidan, M. R., and Khamsi, M. A. (2015). Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph. Fixed Point Theory Applications, 44.
  7. [7] Tripak, O. (2016). Common fixed points of G-nonexpansive mappings on Banach spaces with a graph. Fixed Point Theory Applications, 87.
  8. [8] Suparatulatorn, R., Cholamjiak, W., and Suantai, S. (2018). A modified S-iteration process for G- nonexpansive mappings in Banach spaces with a graph. Numerical Algorithms, 77, 479-490.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

June 30, 2023

Submission Date

January 30, 2023

Acceptance Date

March 23, 2023

Published in Issue

Year 2023 Number: 053

APA
Yolacan, E. (2023). ITERATION SCHEME FOR APPROXIMATING FIXED POINTS OF G-NONEXPANSIVE MAPS ON BANACH SPACES VIA A DIGRAPH. Journal of Scientific Reports-A, 053, 28-40. https://doi.org/10.59313/jsr-a.1244484
AMA
1.Yolacan E. ITERATION SCHEME FOR APPROXIMATING FIXED POINTS OF G-NONEXPANSIVE MAPS ON BANACH SPACES VIA A DIGRAPH. JSR-A. 2023;(053):28-40. doi:10.59313/jsr-a.1244484
Chicago
Yolacan, Esra. 2023. “ITERATION SCHEME FOR APPROXIMATING FIXED POINTS OF G-NONEXPANSIVE MAPS ON BANACH SPACES VIA A DIGRAPH”. Journal of Scientific Reports-A, nos. 053: 28-40. https://doi.org/10.59313/jsr-a.1244484.
EndNote
Yolacan E (June 1, 2023) ITERATION SCHEME FOR APPROXIMATING FIXED POINTS OF G-NONEXPANSIVE MAPS ON BANACH SPACES VIA A DIGRAPH. Journal of Scientific Reports-A 053 28–40.
IEEE
[1]E. Yolacan, “ITERATION SCHEME FOR APPROXIMATING FIXED POINTS OF G-NONEXPANSIVE MAPS ON BANACH SPACES VIA A DIGRAPH”, JSR-A, no. 053, pp. 28–40, June 2023, doi: 10.59313/jsr-a.1244484.
ISNAD
Yolacan, Esra. “ITERATION SCHEME FOR APPROXIMATING FIXED POINTS OF G-NONEXPANSIVE MAPS ON BANACH SPACES VIA A DIGRAPH”. Journal of Scientific Reports-A. 053 (June 1, 2023): 28-40. https://doi.org/10.59313/jsr-a.1244484.
JAMA
1.Yolacan E. ITERATION SCHEME FOR APPROXIMATING FIXED POINTS OF G-NONEXPANSIVE MAPS ON BANACH SPACES VIA A DIGRAPH. JSR-A. 2023;:28–40.
MLA
Yolacan, Esra. “ITERATION SCHEME FOR APPROXIMATING FIXED POINTS OF G-NONEXPANSIVE MAPS ON BANACH SPACES VIA A DIGRAPH”. Journal of Scientific Reports-A, no. 053, June 2023, pp. 28-40, doi:10.59313/jsr-a.1244484.
Vancouver
1.Esra Yolacan. ITERATION SCHEME FOR APPROXIMATING FIXED POINTS OF G-NONEXPANSIVE MAPS ON BANACH SPACES VIA A DIGRAPH. JSR-A. 2023 Jun. 1;(053):28-40. doi:10.59313/jsr-a.1244484