Common Fixed-Point Theorems in the Partial b-Metric Spaces and an Application to the System of Boundary Value Problems. (23rd September 2021)

• Record Type: Journal Article
• Authors: Nazam, Muhammad; Hamid, Zahida; Al Sulami, Hamed; Hussain, Aftab
• Other Names: Avery Rich Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-09-23
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/7777754
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we investigate the conditions for the existence of the common fixed points of generalized contractions in the partial b -metric spaces endowed with an arbitrary binary relation. We establish some unique common fixed-point theorems. The obtained results may generalize and improve earlier fixed-point results. We provide examples to illustrate our findings. As an application, we discuss the common solution to the system of boundary value problems.