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

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Publication Date : 2021-09-30

Article Type : Research

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