ISSN 1842-6298 (electronic), 1843-7265 (print)
Volume 16 (2021), 137 -- 148
This work is licensed under a Creative Commons Attribution 4.0 International License.
FIXED POINT RESULTS FOR A CLASS OF ASYMPTOTICALLY REGULAR MAPS IN g-METRIC SPACE WITH ORDER n
Mohamed Amine Ighachane and Mohamed Akkouchi
Abstract. In 2005, Lj. B. Ciric studied fixed points of asymptotically regular mappings [Math. Commun. 10(2005), 111-114]. The results of that study were extended by several authors. The aim of this article is to extend the main results to the context of g-metric spaces with order n, which was introduced by H. Choi, S. Kim, and S. Y. Yang in 2018.
2020 Mathematics Subject Classification: 54H25; 47H10.
Keywords: asymptotically regular mapping; g-metric space; fixed point.
References
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M. Akkouchi, A-strict fixed point problem for δ-asymptotically regular multi-functions and well-posedness, Sarajevo Journal of Mathematics. 7(19)(2011), 123-133. MR2839325. Zbl 1232.54036.
Lj. B. Ciric, Fixed points of asymptotically regular mappings, Math. Commun. 10(2005), 111-114. MR2254125. Zbl 1089.54515.
H. Choi, S. Kim and S. Y. Yang, Structure for g-metric spaces and related fixed point theorems, arXiv:1804.03651 [math.GN].
Z. Mustafa and B. Sims, A new approach to generalized metric spaces, J. Nonlinear Convex Analysis. 7(2006), 289-297. MR2254125. Zbl 1111.54025.
Mohamed Amine Ighachane
Department of Mathematics, Faculty of Sciences-Semlalia, University Cadi Ayyad,
Av. Prince My. Abdellah, BP: 2390, Marrakesh (40.000-Marrakech), Morocco (Maroc).
email: mohamedamineighachane@gmail.com
Mohamed Akkouchi
Department of Mathematics, Faculty of Sciences-Semlalia, University Cadi Ayyad,
Av. Prince My. Abdellah, BP: 2390, Marrakesh (40.000-Marrakech), Morocco (Maroc).
email: akkm555@yahoo.fr