TY - JOUR JF - IJMSI JO - IJMSI VL - 16 IS - 2 PY - 2021 Y1 - 2021/10/01 TI - Fixed Point in Semi-linear Uniform Spaces and Convex Metric Spaces TT - 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. SP - 11 EP - 23 AU - Rawshdeh, A. AU - Tallafha, A. AD - The University of Jordan, Department of Mathematics. Amman-Jordan KW - Uniform spaces KW - Semi-linear uniform spaces KW - Contractions KW - metric spaces KW - types of metric spaces. UR - http://ijmsi.ir/article-1-1167-en.html DO - 10.52547/ijmsi.16.2.11 ER -