Rational Geraghty Contractive Mappings and Fixed Point Theorems in Ordered $b_2$-metric Spaces

In 2014, Zead Mustafa introduced $b_2$-metric spaces, as a generalization of both $2$-metric and $b$-metric spaces. Then new fixed point results for the classes of  rational Geraghty contractive mappings of type I,II and III in the setup of $b_2$-metric spaces are investigated. Then, we prove some f...

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Bibliographic Details
Main Authors: Roghaye Jalal Shahkoohi, Zohreh Bagheri
Format: Article
Language:English
Published: University of Maragheh 2019-02-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:http://scma.maragheh.ac.ir/article_29263_f6da7913f6ba4c54cf195c5e7a308a31.pdf