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.

Keywords

• b-metric
• b-simulation function
• $\theta$-metric
• b-$\theta$-metric

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