Open AccessFixed Point Results for Generalized Contraction Mappings and Cyclical Mappings in b-Metric Spaces Endowed with a Digraph
Author(s) -
Sushanta Kumar Mohanta,
Deep Biswas
Publication year - 2019
Publication title -
analele universităţii din timişoara. seria matematică-informatică/analele universităţii de vest din timişoara. seria matematică-informatică
Language(s) - English
Resource type - Journals
eISSN - 1841-3307
pISSN - 1841-3293
DOI - 10.2478/awutm-2019-0017
Subject(s) - digraph , metric space , contraction (grammar) , fixed point , mathematics , fixed point theorem , metric (unit) , pure mathematics , discrete mathematics , mathematical analysis , medicine , operations management , economics
In this paper, we establish a fixed point theorem for generalized contraction mappings in b -metric spaces endowed with a digraph. As an application of this result, we obtain fixed points of cyclical mappings in the setting of b -metric spaces. Our results extend and generalize several existing results in the literature.