Open Access
2014 A Unification of G -Metric, Partial Metric, and b -Metric Spaces
Nawab Hussain, Jamal Rezaei Roshan, Vahid Parvaneh, Abdul Latif
Abstr. Appl. Anal. 2014(SI56): 1-14 (2014). DOI: 10.1155/2014/180698


Using the concepts of G -metric, partial metric, and b -metric spaces, we define a new concept of generalized partial b -metric space. Topological and structural properties of the new space are investigated and certain fixed point theorems for contractive mappings in such spaces are obtained. Some examples are provided here to illustrate the usability of the obtained results.


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Nawab Hussain. Jamal Rezaei Roshan. Vahid Parvaneh. Abdul Latif. "A Unification of G -Metric, Partial Metric, and b -Metric Spaces." Abstr. Appl. Anal. 2014 (SI56) 1 - 14, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 06416404
MathSciNet: MR3178851
Digital Object Identifier: 10.1155/2014/180698

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI56 • 2014
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