Matematicki Vesnik, Volume (68), No (3), Year (2016-6) , Pages (204-214)

Title : ( Common fixed points of commuting mappings in ultrametric spaces )

Authors: Seyyed Alireza Kamel Mirmostafaee , Zahra Alinejad ,

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Abstract

In this paper, we will use implicit functions to obtain a general result about the existence of a unique common fixed point for commuting mappings in ultrametric spaces. This result enable us to improve some known fixed point theorems and enable us to obtain a relation between completeness and the existence of a unique fixed point for self-mappings in non-Archimedean metric spaces. By presenting some counterexamples, we will show that our results cannot be extended to general metric spaces.

Keywords

, Contraction mapping, fixed point, non-Archimedean metric space.
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@article{paperid:1055282,
author = {Kamel Mirmostafaee, Seyyed Alireza and Alinejad, Zahra},
title = {Common fixed points of commuting mappings in ultrametric spaces},
journal = {Matematicki Vesnik},
year = {2016},
volume = {68},
number = {3},
month = {June},
issn = {0025-5165},
pages = {204--214},
numpages = {10},
keywords = {Contraction mapping; fixed point; non-Archimedean metric space.},
}

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%0 Journal Article
%T Common fixed points of commuting mappings in ultrametric spaces
%A Kamel Mirmostafaee, Seyyed Alireza
%A Alinejad, Zahra
%J Matematicki Vesnik
%@ 0025-5165
%D 2016

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