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Common Fixed Point Theorem in T0 Quasi Metric Space | OMICS International | Abstract
ISSN: 2476-2296

Fluid Mechanics: Open Access
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Research Article

Common Fixed Point Theorem in T0 Quasi Metric Space

Balaji R Wadkar1, Ramakant Bhardwaj2, Lakshmi Narayan Mishra3* and Basant Singh1

1Department of Mathematics, AISECT University, Bhopal-Chiklod Road, Bhopal, Madhya Pradesh, India

2Department of Mathematics, TIT Group of Institutes, Anand Nagar, Bhopal, Madhya Pradesh, India

3Department of Mathematics, Mody University of Science and Technology, Lakshmangarh, Sikar Road, Sikar, Rajasthan, India

*Corresponding Author:
Mishra LN
Department of Mathematics
Mody University of Science and Technology
Lakshmangarh, Sikar Road, Sikar
Rajasthan 332 311, India
Tel: +919913387604
E-mail: [email protected]

Received Date: January 02, 2017; Accepted Date: January 30, 2017; Published Date: February 08, 2017

Citation: Wadkar BR, Bhardwaj R, Mishra LN, Singh B (2017) Common Fixed Point Theorem in T0 Quasi Metric Space. Fluid Mech Open Acc 4: 143. doi: 10.4172/2476-2296.1000143

Copyright: © 2017 Wadkar BR, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Abstract

In this paper, we prove fixed point theorems for generalized C-contractive and generalized S-contractive mappings in a bi-complete di-metric space. The relationship between q- spherically complete T0 Ultra-quasi-metric space and bi-complete diametric space is pointed out in proposition 5.1. This work is motivated by Petals and Fvidalis in a T0-ultraquasi- metric space 2000 AMS Subject Classification: 47H17, 74H05, 47H09.

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