SOME FIXED POINT THEOREMS IN CONE E_b-METRIC SPACES
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Abstract
Fixed point theory plays a fundamental role in mathematics and has significant applications across diverse scientific disciplines. In this paper, by employing the method of Miculescu and Mihail (2017), we establish sufficient conditions for a sequence in cone -metric spaces, with cones containing interior points, to be -Cauchy. This result extends the findings of Miculescu & Mihail (2017), Zahia et al. (2023), and Djedid et al. (2025). Furthermore, we present some fixed point theorems in cone -metric spaces. The obtained results generalize previously known theorems and enrich the fixed point theory in generalized metric spaces.
Keywords
Cone E_b-metric space, fixed point, semi-interior point.
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References
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