New fixed point theorems for \(\theta\)-\(\phi \)-contraction on rectangular \(b\)-metric spaces (Q2657240)

Summary: The Banach contraction principle is the most celebrated fixed point theorem and has been generalized in various directions. In this paper, inspired by the concept of \(\theta\)-\(\phi \)-contraction in metric spaces, introduced by Zheng et al., we present the notion of \(\theta\)-\(\phi \)-contraction in \(b\)-rectangular metric spaces and study the existence and uniqueness of a fixed point for the mappings in this space. Our results improve many existing results.