ISSN 1842-6298 (electronic), 1843-7265 (print)
Volume 14 (2019), 327 -- 339
This work is licensed under a Creative Commons Attribution 4.0 International License.
SOME STABILITY RESULTS FOR COUPLED FIXED POINT ITERATIVE PROCESS IN A COMPLETE METRIC SPACE
M. O. Olatinwo and K. R. Tijani
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.
2010 Mathematics Subject Classification: 47H06; 54H25.
Keywords: Coupled fixed point iterations; continuous dependence of coupled fixed points; complete metric spaces; rational type.
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M. O. Olatinwo
Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria.
e-mail: memudu.olatinwo@gmail.com, molaposi@yahoo.com, polatinwo@oauife.edu.ng
K. R. Tijani
Department of Mathematics, Osun State University, Osogbo, Nigeria.
e-mail: kamil_tijani2000@yahoo.com, kkrotimi72@gmail.com, kamiludeen.tijani@uniosun.edu.ng