Fixed Point in Semi-linear Uniform Spaces and Convex Metric Spaces

Author(s):

A. Rawshdeh , A. Tallafha*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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.

Keywords:

Uniform spaces , Semi-linear uniform spaces , Contractions , metric spaces , types of metric spaces

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:16 Issue: 2, Nov 2021
Pages:
11 to 23
https://www.magiran.com/p2334795