Coincidence point theorems for some multi-valued mappings in complete metric spaces endowed with a graph

Autor:	Suthep Suantai, Chalongchai Klanarong
Jazyk:	angličtina
Předmět:	Discrete mathematics Applied Mathematics Voltage graph Directed graph law.invention Metric space Nearest neighbor graph law Line graph Graph (abstract data type) Geometry and Topology Null graph Coincidence point Mathematics
Zdroj:	Fixed Point Theory and Applications. 2015(1)
ISSN:	1687-1812
DOI:	10.1186/s13663-015-0379-1
Popis:	In this paper, we introduce the concepts of weak g-graph-preserving for multi-valued mappings and weak G-contractions in a metric space endowed with a directed graph. We establish the coincidence point theorems for this type of mappings in a complete metric space endowed with a directed graph. Examples illustrating our main results are also presented. Our results extend and generalize various known results in the literature.
Databáze:	OpenAIRE
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