Turkish Journal of Mathematics
Abstract
In this work, we establish a common fixed point result for mappings satisfying a controllable punctual inequality and we study the convergence (resp. weak convergence) of the generalized Kirk's process associated with them. In addition, our results are applied to investigate the convergence (resp. weak convergence) of Kuhfittig's iterative process to the solution of a nonlinear system of functional equations.
DOI
10.3906/mat-1807-166
Keywords
Uniformly convex Banach space, strictly convex Banach space, convex subset, common fixed point, generalized Kirk's process, convergence, weak convergence, demiclosed mapping, Kuhfittig's iterative process
First Page
1395
Last Page
1406
Recommended Citation
DEHICI, ABDELKADER
(2019)
"Some remarks on generalized Kirk's process in Banach spaces and application,"
Turkish Journal of Mathematics: Vol. 43:
No.
3, Article 24.
https://doi.org/10.3906/mat-1807-166
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss3/24
