Some Fixed Point Theorems on $b$-$theta$-metric spaces via $b$-simulation Functions

Abstract

We introduce the concept of $b$-$theta$-metric space as a generalization of $theta$-metric space and investigate some of its properties. Then, we establish a fixed point theorem in $b$-$theta$-metric spaces via $b$-simulation functions. Thus, we deduce Banach type fixed point in such spaces. Also, we discuss some fixed point results in relation to existing ones.