(JCLR) property and fixed point in non-Archimedean fuzzy metric spaces

Document Type : Research Paper

Authors
Ismat Beg 1
M. Ahmed 2
N. Nafadi 3
1 Lahore School of Economics, Lahore, Pakistan
2 Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt
3 Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt
10.22075/ijnaa.2018.10861.1529
Abstract
The aim of the present paper is to introduce the concept of joint common limit range property ((JCLR) property) for single-valued and set-valued maps in non-Archimedean fuzzy metric spaces. We also list some examples to show the difference between (CLR) property and (JCLR) property. Further, we establish common fixed point theorems using implicit relation with integral contractive condition. Several examples to illustrate the significance of our results are given.
Keywords
Fixed point
(JCLR) property
non-Archimedean fuzzy metric space
hybrid map
International Journal of Nonlinear Analysis and Applications
Volume 9, Issue 1
September 2018
Pages 195-201

  • Receive Date 14 March 2017
  • Revise Date 01 July 2017
  • Accept Date 05 January 2018

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