TY - JOUR
T1 - Fixed Point in Semi-linear Uniform Spaces and Convex Metric Spaces
TT -
JF - IJMSI
JO - IJMSI
VL - 16
IS - 2
UR - http://ijmsi.ir/article-1-1167-en.html
Y1 - 2021
SP - 11
EP - 23
KW - Uniform spaces
KW - Semi-linear uniform spaces
KW - Contractions
KW - metric spaces
KW - types of metric spaces.
N2 - Tallafha, A. and Alhihi S. in [15], asked the following question. If f is a contraction from a complete semi-linear uniform space (X,Γ) to it self, is f has a unique fixed point. In this paper, we shall answer this question negatively and we shall show that convex metric space and M-space are equivalent except uniqueness. Also we shall characterize convex metric spaces and use this characterization to give some application using semi-linear uniform spaces.
M3 10.52547/ijmsi.16.2.11
ER -