Advances in Fixed Point Theory for Extended b-Metric Spaces Results and Applications
DOI:
https://doi.org/10.29304/jqcsm.2026.18.12508Keywords:
Fixed point FP, Extended b- Metric space EBMS, Kannan type Mapping KTM, Hyers-Ulam Stability HUSAbstract
This study presents fixed point theorems in extended b-metric spaces using bounded compactness, Ʈ orbital compactness, and asymptotic regularity. We show that Kannan type mappings admit unique fixed points under these weakened topological conditions, without employing auxiliary control functions. The results unify and extend classical theorems, providing applicable tools for nonlinear analysis in variable-scale spaces. Illustrative examples demonstrate the validity and scope of the theory
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Copyright (c) 2026 Kadhim Mohammed Saeed, Qusuay Alqifiary
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