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New spaces satisfy the T_2-separation property, suggesting extensions and fixed point applications.
In this paper, we introduce a new kind of spaces called a T-partial Gb-metric space. In this space, the T₂-separation axiom is verified and many known spaces in the literature are extended. Moreover, we prove a related fixed point theorem and include an example that shows the validity of our results.
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Touail et al. (2025) studied this question.
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