International Journal of Analysis and Applications | 2026
Authors: Majid N.A.; Mishlish M.; Al. Jumaili A.M.F.
DOI: 10.28924/2291-8639-24-2026-21
Journal: International Journal of Analysis and Applications
Year: 2026
Publisher: Etamaths Publishing
Document Type: Article
Open Access: All Open Access; Gold Open Access
Cited by: 0
The major objective of this manuscript is to present another novel extension of metric spaces namely; mapping weighted D-complete metric space. In the process, the uniqueness of various strictures of common and common coupled fixed point theorems have been investigated and verified for two pairs of self commutative maps under influence other improved types of extended contractive conditions in these spaces. On the other hand, a novel extended notion of Hausdorff distance namely; Hausdorff ∇∗-distance has been defined in these spaces. Our second main results of various novel types of improved coincidence fixed point theorems have been obtained by applying the conception of generalized Hausdorff ∇∗-distance. Additionally, various practical implementations of the existence fixed point for two pairs of self commutative maps as a solution for certain non-linear Volterra integral equations have been presented and investigated in the framework of map weighted D-complete metric spaces. © 2025 the author(s).
coincidence fixed points; common coupled fixed point; D<sup>*</sup>-metric space; Hausdorff ∇<sup>∗</sup>-distance; map weighted D-metric space