Some new coincidence point results for single-valued and multi-valued mappings in $b$-metric spaces via digraphs

We introduce the concept of generalized $F$-$G$-contraction and prove some new coincidence point results for single-valued and multi-valued mappings in $b$-metric spaces endowed with a digraph $G$. Our results generalize and extend several well-known comparable results including Nadler's fixed...

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Bibliographic Details
Main Authors: S. K. Mohanta, R. Kar
Format: Article
Language:German
Published: Ivan Franko National University of Lviv 2020-03-01
Series:Математичні Студії
Subjects:
Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/16
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Summary:We introduce the concept of generalized $F$-$G$-contraction and prove some new coincidence point results for single-valued and multi-valued mappings in $b$-metric spaces endowed with a digraph $G$. Our results generalize and extend several well-known comparable results including Nadler's fixed point theorem for multi-valued mappings. Moreover, we give some examples to justify the validity of our main result.
ISSN:1027-4634
2411-0620