Аннотация:
This paper deals with a type of fixed point obtained from a family of
generalized graph contractions that we adapt in the framework of a
$b$-metric
space.
We state and prove many new results in the underlying spaces.
We provide
a few applications of our results through some examples in order to support and
illustrate the main results.
To the best of our knowledge, the results derived
herein improve and generalizes many results in the cited references.
Ключевые слова:
common fixed point, set-valued mapping, generalized graph $\phi$-contraction, directed graph, $b$-metric.
