Common Fixed Point Theorem for a New Type of $F-$Contraction in $b-$Metric Spaces
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Keywords:
$b-$metric spaces, fixed point, $\alpha _{s}-$orbital admissible mapping, $F-$type functionsAbstract
In this paper, firstly, we introduce the notion of contraction of $F-$type function and the concept of $\alpha _{s} -$orbital admissible mapping. Secondly, we establish a fixed point theorem for this type contraction in the setting of complete $b-$metric spaces and substantiate our theoretical findings with a supportive example. This approach not only broadens the spectrum of fixed point theory but also demonstrates the practical applicability of our results in the analysis of $b-$metric spaces.
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Copyright (c) 2024 International Journal of Mathematics And its Applications
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