Volume 16, Issue 2 (10-2021)
IJMSI 2021, 16(2): 11-23 |
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Rawshdeh A, Tallafha A. Fixed Point in Semi-linear Uniform Spaces and Convex Metric Spaces. IJMSI 2021; 16 (2) :11-23
URL: http://ijmsi.ir/article-1-1167-en.html
URL: http://ijmsi.ir/article-1-1167-en.html
Abstract:
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.
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.
Keywords: Uniform spaces, Semi-linear uniform spaces, Contractions, metric spaces, types of metric spaces.
Type of Study: Research paper |
Subject:
Special
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