International Journal of Analysis and Applications | 2026
Authors: Abbas A.K.; Shihab A.A.; Al-Jumaili A.M.F.
DOI: 10.28924/2291-8639-24-2026-190
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 importance of fixed point theory and it is implementations in various fields of mathematics and other branches of sciences has encouraged many researchers to study various categories of coincidence and common fixed point theorems of extended contraction multi-valued mappings. Therefore, the major objective of present our manuscript is to define and applies new ideas of extended contraction conditions to verify the uniqueness of some new categories of coincidence and common fixed point theorems for multi-valued maps in the context of complete D∗d-symmetric spaces. Various practical implementations of the existence fixed point as a solution for certain non-linear integral equations have been elucidated. Additionally, our suggested results are novel and develop various recognized comparable outcomes related to these categories of coincidence and common fixed point theorems for extended classes of contraction multi-valued maps existing in the literature. Furthermore, a appropriate example that supports our major results has been equipped. © 2026 the author(s).
coincidence and common fixed points; D<sub>d</sub><sup>∗</sup>-Symmetric spaces; G − ξ-contraction