The Interpolative Berinde Weak Mapping Theorem in η-Cone Pentagonal Metric Space
Abstract
In this paper we introduce a concept of η-cone pentagonal metric space, which combines the notions of cone pentagonal metric space [1], and η-cone metric space [2]. Moreover, a variant of the interpolative Berinde weak mapping theorem obtained in [3] is proved in this setting.
References
Abba Auwalu, Banach fixed point theorem in a cone pentagonal metric spaces, Journal of Advanced Studies in Topology 7(2) (2016), 60-67. https://doi.org/10.20454/jast.2016.1019
Yaé Ulrich Gaba, η-metric structures, 2017. arXiv:1709.07690 [math.GN]
Clement Boateng Ampadu, Some fixed point theory results for the interpolative Berinde weak operator, Earthline Journal of Mathematical Sciences 4(2) (2020), 253-271. https://doi.org/10.34198/ejms.4220.253271
L.-G. Huang and X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, Journal of Mathematical Analysis and Applications 332(2) (2007), 1468-1476. https://doi.org/10.1016/j.jmaa.2005.03.087
Abba Auwalu and Evren Hıҫal, Common fixed points of two maps in cone pentagonal metric spaces, Global Journal of Pure and Applied Mathematics 12(3) (2016), 2423-2435.
A.S. Cvetković, M.P. Stanić, S. Dimitrijević and S. Simić, Common fixed point theorems for four mappings on cone metric type space, Fixed Point Theory Appl. 2011, Art. ID 589725, 15 pp. https://doi.org/10.1155/2011/589725
M.A. Khamsi, Remarks on cone metric spaces and fixed point theorems of contractive mappings, Fixed Point Theory and Application 2010, Art. ID 315398, 7 pp. https://doi.org/10.1155/2010/315398
Clement Boateng Ampadu, Banach contraction mapping theorem in η-cone rectangular metric space, Fundamental Journal of Mathematics and Mathematical Sciences 13(1) (2020), 23-34.
This work is licensed under a Creative Commons Attribution 4.0 International License.