Open AccessCommon fixed point for multivalued ($\psi$-$G$)-contraction mappings in partial metric spaces with a graph structure
Author(s) -
Saadia Benchabane,
Smaïl Djebali
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.44992
Subject(s) - metric space , mathematics , contraction (grammar) , fixed point , graph , discrete mathematics , fixed point theorem , coincidence point , contraction mapping , generalization , combinatorics , pure mathematics , mathematical analysis , medicine
In the present work, we first discuss the definition of a multivalued ($\psi$-$G$)-contraction mapping in a metricspace endowed with a graph as introduced in \cite{1} and we suggest a generalization. Then, we prove a common fixed point theorem for multivalued ($\psi$-$G$)-contraction mappings in partial metric spaces endowed with a graph. An example of application illustrates the main existence result and some known existence results are derived.