Abstract
In this paper, we prove a fixed point theorem and a common fixed point theorem for multi valued mappings in complete b-metric spaces.
Highlights
Introduction and preliminariesFixed point theory plays one of the important roles in nonlinear analysis
In 1922, Stefan Banach proved a famous fixed point theorem for contractive mappings in complete metric spaces
Many results were presented in β-generalized weak contractive multifunctions and b-metric spaces (Alikhani et al 2013; Boriceanu 2009; Mehemet and Kiziltunc 2013)
Summary
2,the ordinary triangle inequality does not hold. Definition 12 Boriceanu (2009) Let (X, d) be a b-metric space.
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