FIXED POINT RESULTS FOR HARDY-ROGERS TYPE CONTRACTIONS WITH RESPECT TO A 𝐶-DISTANCE IN GRAPHICAL CONE METRIC SPACES

Autor: L. Aryanpour, H. Rahimi, G. Soleimani Rad
Jazyk: English<br />Russian
Rok vydání: 2020
Předmět:
Zdroj: Проблемы анализа, Vol 9(27), Iss 1, Pp 27-37 (2020)
Druh dokumentu: article
ISSN: 2306-3424
2306-3432
DOI: 10.15393/j3.art.2020.6850
Popis: The aim of this paper is to prove some existence and uniqueness results of the fixed points for Hardy-Rogers type contraction in cone metric spaces associated with a 𝑐-distance and endowed with a graph. These results prepare a more general statement, since we apply the condition of orbitally 𝐺-continuity of mapping instead of the condition of continuity, and consider cone metric spaces endowed with a graph instead of cone metric spaces.
Databáze: Directory of Open Access Journals