Hypergraphical Metric Spaces and Fixed Point Theorems

Hypergraph is a generalization of graph in which an edge can join any number of vertices. Hypergraph is used for combinatorial structures which generalize graphs. In this research work, the notion of hypergraphical metric spaces is introduced, which generalizes many existing spaces. Some fixed point...

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Bibliographic Details
Published in:Mathematical problems in engineering 2021, Vol.2021, p.1-7
Main Authors: Li, Xiaodong, Khan, Farhan, Ali, Gohar, Gul, Lubna, Sarwar, Muhammad
Format: Article
Language:English
Subjects:
Apexes
Combinatorial analysis
Computer science
Fixed points (mathematics)
Graph theory
Graphs
Metric space
Theorems
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Summary:Hypergraph is a generalization of graph in which an edge can join any number of vertices. Hypergraph is used for combinatorial structures which generalize graphs. In this research work, the notion of hypergraphical metric spaces is introduced, which generalizes many existing spaces. Some fixed point theorems are studied in the corresponding spaces. To show the authenticity of the established work, nontrivial examples and applications are also provided.
ISSN:1024-123X
1563-5147
DOI:10.1155/2021/9961734