#5 – Fixed Point Results for Multi-Valued Mappings in G – Metric Spaces

Yan Sun and Chenglin Zhao. Fixed Point Results for Multi-Valued Mappings in  G Metric Spaces.
Dynamic Systems and Applications 30 (2021) No. 9, 1463-1478

https://doi.org/10.46719/dsa202130.09.05

ABSTRACT.
In this paper, we present new definitions of multi-valued mappings in G- complete
G-metric spaces and establish a sharper sufficient condition for the existence of xed points by mak-
ing use of analysis technique. The results which are obtained improve, enrich, generalize and extend
many known results. Some examples are also given to demonstrate the application of our main results

AMS (MOS) Subject Classification. 34B18, 35A05, 35J65.
Keywords: G- metric space, fixed point, multi-valued mappings, existence