New fixed point theorems for $(ϕ, F)-$contraction on rectangular b-metric spaces

The Banach contraction principle is the most celebrated fixed point theorem, it has been generalized in various directions. In this paper, inspired by the concept of $(ϕ, F)-$contraction in metric spaces, introduced by Wardowski. We present the notion of $(ϕ, F)-$contraction in $b-$rectangular metric spaces to study the existence and uniqueness of fixed point for the mappings in this spaces. Our results improve many existing results.

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