Fixed‐Point Results for (θ,G)‐Quasirational Contraction in Triple Controlled Metric‐Like Spaces With Applications

Abstract

ABSTRACT In this article, we provided fixed‐point results for ‐quasirational contraction and ‐quasirational contraction within the setting of triple controlled metric‐like spaces. Furthermore, we demonstrate that this extension of spaces does not constitute a Hausdorff space. Our results are more generalized with respect to the existing ones in the literature. Additionally, we also discussed the existence and uniqueness of solution of Fredholm integral equation using our results within the setting of triple controlled metric‐like spaces. In this sequel, we apply our primary finding to nonlinear fractional differential equations. Moreover, we introduce triple controlled metric‐like spaces endowed with a graph, along with an open question.