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Some stability results for coupled fixed point iterative process in a complete metric space

Authors :
M. O. Olatinwo
K. R. Tijani
Source :
Surveys in Mathematics and its Applications, Vol 14 (2019), Pp 327-339 (2019)
Publication Year :
2019
Publisher :
University Constantin Brancusi of Targu-Jiu, 2019.

Abstract

In the paper [M. O. Olatinwo, Stability of coupled fixed point iterations and the continuous dependence of coupled fixed points, Communications on Applied Nonlinear Analysis 19 (2012), 71-83], the author has extended the notion of stability of fixed point iterative procedures contained in the paper [A. M. Harder and T. L. Hicks, Stability results for fixed point iteration procedures, Math. Japonica 33 (1988), 693-706], as well as the continuous dependence of fixed points to the coupled fixed point settings by employing the contractive conditions and the coupled fixed point iteration in the article [F. Sabetghadam, H. P. Masiha and A. H. Sanatpour, Some coupled fixed point theorems in cone metric spaces, Fixed Point Theory and Applications, Article ID 125426 (2009)]. In the present paper, we obtain some results on stability of coupled fixed point iterative procedures by using rational type contractive conditions.

Details

Language :
English, French
ISSN :
18437265 and 18426298
Volume :
142019)
Database :
Directory of Open Access Journals
Journal :
Surveys in Mathematics and its Applications
Publication Type :
Academic Journal
Accession number :
edsdoj.9cf601d2152f4fceb0f31c9a15cba4d7
Document Type :
article