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 -