New Fixed Point Theorems for θ − ω − Contraction on λ , μ -Generalized Metric Spaces

Abstract

In this paper, we consider a new extension of the Banach contraction principle, which is called the $\theta -\omega -$ contraction inspired by the concept of $\theta -$ contraction in $\left(\lambda ,\mu \right)$ -generalized metric spaces and to study the existence and uniqueness of fixed point for the mappings in metric space. Moreover, we discuss some illustrative examples to highlight the improvements that were made, and we also give an iterated application of linear integral equations.