Abstract and Applied Analysis

A Unification of G -Metric, Partial Metric, and b -Metric Spaces

Nawab Hussain, Jamal Rezaei Roshan, Vahid Parvaneh, and Abdul Latif

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 180698, 14 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412606245

Digital Object Identifier
doi:10.1155/2014/180698

Mathematical Reviews number (MathSciNet)
MR3178851

Zentralblatt MATH identifier
06416404

Citation

Hussain, Nawab; Rezaei Roshan, Jamal; Parvaneh, Vahid; Latif, Abdul. A Unification of $G$ -Metric, Partial Metric, and $b$ -Metric Spaces. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 180698, 14 pages. doi:10.1155/2014/180698. https://projecteuclid.org/euclid.aaa/1412606245


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