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

Authors : Esra DALAN YILDIRIM, Ayşegül ÇAKSU GÜLER, Oya Bedre ÖZBAKIR

Pages : 159-164

Doi:10.33401/fujma.890533

View : 15 | Download : 5

Publication Date : 2021-09-30

Article Type : Research Paper

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, heta metric, b heta metric