دوره 16، شماره 2 - ( 7-1400 )
جلد 16 شماره 2 صفحات 23-11 |
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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-fa.html
URL: http://ijmsi.ir/article-1-1167-fa.html
Fixed Point in Semi-linear Uniform Spaces and Convex Metric Spaces. مجله علوم ریاضی و انفورماتیک. 1400; 16 (2) :11-23
چکیده:
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.
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