A new approach in the context of ordered incomplete partial b-metric spaces

Tawseef Rashid, Mohammed M. M. Jaradat, Qamrul Haq Khan, Zoran D. Mitrović, Hassen Aydi, Zead Mustafa
2020 Open Mathematics  
The main purpose of this paper is to find some fixed point results with a new approach, particularly in those cases where the existing literature remains silent. More precisely, we introduce partial completeness, f̄-orbitally completeness, a new type of contractions and many other notions. We also ensure the existence of fixed points for non-contraction maps in the class of incomplete partial b-metric spaces. We have reported some examples in support of our results.
doi:10.1515/math-2020-0054 fatcat:3r6eb5ny4bgcbkik34oe4qmidu