Enriched rational type contractions in quasi-Banach spaces and generalized convex b-metric spaces

In this paper, we define enriched rational type contraction in the setting of quasi-Banach spaces and prove the existence and uniqueness of fixed point of the enriched contraction by using Krasnselskii iteration procedure. Morever, we introduce weak enriched rational type contraction and give some fixed point theorems related to Kirk's iteration method. We also give the notion of generalized convex b-metric space and extend the results for quasi-Banach spaces to the concept of generalized convex b-metric spaces. Moreover some examples to support our results are also given.

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