ON EXTENDED b-METRIC SPACES: RELAXING COMPLETENESS CRITERION AND EXPLORING BEHAVIOR

Authors

  • TAWSEEF RASHID Author

DOI:

https://doi.org/10.5281/ms6afe94

Abstract

In this study, we demonstrate that fixed points can occur in extended b-metric spaces that are not necessarily complete. We must employ
a novel form of contraction conditions in order to relax the completeness criterion. It has been investigated how fixed points behave in both partially
complete and orbitally complete spaces. We provide some instances to highlight our findings.

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Published

2026-07-18

How to Cite

[1]
TAWSEEF RASHIDtran. 2026. ON EXTENDED b-METRIC SPACES: RELAXING COMPLETENESS CRITERION AND EXPLORING BEHAVIOR. Journal of Mathematical Analysis. 14, 2 (Jul. 2026), 01–11. DOI:https://doi.org/10.5281/ms6afe94.