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Tbilisi Mathematical Journal

Editor-in-Chief: Inassaridze, Hvedri

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Fixed point theorems for set valued mappings in partially ordered G-metric space

Amit Kumar
Published Online: 2014-10-16 | DOI: https://doi.org/10.2478/tmj-2014-0005


The notion of (X;≼) partially ordered set is well known and its study for fixed points is well entrenched in the literature. In this manuscript, we obtain sufficient conditions for the existence of common fixed point for two set valued mappings satisfying an implicit relation in complete G-metric space on partially ordered set X.

MSC: 47H10; 47H04; 47H07

Keywords: Fixed point; partially ordered set; G-metric space; set valued mappings


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About the article

Received: 2013-08-28

Accepted: 2014-07-16

Published Online: 2014-10-16

Citation Information: Tbilisi Mathematical Journal, Volume 7, Issue 1, ISSN (Online) 1512-0139, DOI: https://doi.org/10.2478/tmj-2014-0005.

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© 2014 Amit Kumar. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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