Fixed Point Results of Contractive Mappings with Altering Distance Functions in Ordered b-Metric Spaces

Authors

K.Kalyani, Vignan’s Foundation for Science, Technology & Research, Vadlamudi-522213, Andhra Pradesh, IndiaFollow
N.Seshagiri Rao, Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No.1888, Adama, EthiopiaFollow
Belay Mitiku, Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No.1888, Adama, EthiopiaFollow

Abstract

We explore the existence of a fixed point as well as the uniqueness of a mapping in an ordered b-metric space using a generalized (ψˇ,ηˆ)-weak contraction. In addition, some results are posed on a coincidence point and a coupled coincidence point of two mappings under the same contraction condition. These findings generalize and build on a few recent studies in the literature. At the end, we provided some examples to back up our findings.

Recommended Citation

K.Kalyani; Rao, N.Seshagiri; and Mitiku, Belay (2021) "Fixed Point Results of Contractive Mappings with Altering Distance Functions in Ordered b-Metric Spaces," Information Sciences Letters: Vol. 10 : Iss. 2 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol10/iss2/11