Enriched type contractions in convex generalized super metric spaces
Abstract
In this paper, we present the concept of a generalized super metric space. We then define a generalized enriched contraction within the framework of a convex generalized super metric space and propose several fixed point theorems for this new type of contraction. Additionally, we extend the Dass and Gupta rational contraction in the context of our newly introduced space. To illustrate our findings, we include examples. Finally, we apply our results to solve a fractional differential equation.
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