RT - Journal Article T1 - Fixed Point in Semi-linear Uniform Spaces and Convex Metric Spaces JF - IJMSI YR - 2021 JO - IJMSI VO - 16 IS - 2 UR - http://ijmsi.ir/article-1-1167-en.html SP - 11 EP - 23 K1 - Uniform spaces K1 - Semi-linear uniform spaces K1 - Contractions K1 - metric spaces K1 - types of metric spaces. AB - 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. LA eng UL http://ijmsi.ir/article-1-1167-en.html M3 10.52547/ijmsi.16.2.11 ER -