Non-Archimedean fuzzy metric spaces and Best proximity point theorems
author
Abstract:
In this paper, we introduce some new classes of proximal contraction mappings and establish best proximity point theorems for such kinds of mappings in a non-Archimedean fuzzy metric space. As consequences of these results, we deduce certain new best proximity and fixed point theorems in partially ordered non-Archimedean fuzzy metric spaces. Moreover, we present an example to illustrate the usability of the obtained results.
similar resources
Best proximity point theorems in 1/2−modular metric spaces
In this paper, first we introduce the notion of $frac{1}{2}$-modular metric spaces and weak $(alpha,Theta)$-$omega$-contractions in this spaces and we establish some results of best proximity points. Finally, as consequences of these theorems, we derive best proximity point theorems in modular metric spaces endowed with a graph and in partially ordered metric spaces. We present an ex...
full textMultivariate best proximity point theorems in metric spaces
The purpose of this paper is to prove an existence and uniqueness theorems of the multivariate best proximity point in the complete metric spaces. The concept of multivariate best proximity point is firstly introduced in this article. These new results improve and extend the previously known ones in the literature. c ©2016 All rights reserved.
full textBest Proximity Point Theorems in Partially Ordered Metric Spaces
The notion of generalized Berinde type contraction non-self maps in partially ordered metric spaces is introduced, and some best proximity point theorems for this class are established. Mathematics Subject Classification: 47H10, 54H25
full textSome Best Proximity Point Theorems in Partially Ordered Metric Spaces
Existence and approximation of best proximity points is an interesting topic for which one can see [2, 3, 4, 6, 5] for more information. Another extension of Banach contraction principle was given by Nieto and Rodriguez-Lopez in partially ordered metric spaces [9]. They proved some fixed point theorems in partially ordered sets in order to show the existence and uniqueness for a first-order ord...
full textSOME FIXED POINT THEOREMS FOR SINGLE AND MULTI VALUED MAPPINGS ON ORDERED NON-ARCHIMEDEAN FUZZY METRIC SPACES
In the present paper, a partial order on a non- Archimedean fuzzymetric space under the Lukasiewicz t-norm is introduced and fixed point theoremsfor single and multivalued mappings are proved.
full textCommon Fixed Point Theorems for Single and Set–Valued Maps in Non –Archimedean Fuzzy Metric Spaces
Attribution-Noncommercial 3.0 Unported License http://creativecommons.org/licenses/by-nc/3.0/), permitting all non commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. Global Journal of Science Frontier Research Mathematics and Decision Sciences Volume 12 Issue 6 Version 1.0 June 2012 Type : Double Blind Peer Reviewed International Research...
full textMy Resources
Journal title
volume 09 issue 1
pages 85- 112
publication date 2018-01-01
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023