IJIRST (International Journal for Innovative Research in Science & Technology)ISSN (online) : 2349-6010

 International Journal for Innovative Research in Science & Technology

A Generalized Metric Space And Related Fixed Point Theorems


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International Journal for Innovative Research in Science & Technology
Volume 3 Issue - 6
Year of Publication : 2016
Authors : Jagdish C. Chaudhary ; Shailesh T. Patel Shailesh T. Patel

BibTeX:

@article{IJIRSTV3I6007,
     title={A Generalized Metric Space And Related Fixed Point Theorems},
     author={Jagdish C. Chaudhary and Shailesh T. Patel Shailesh T. Patel },
     journal={International Journal for Innovative Research in Science & Technology},
     volume={3},
     number={6},
     pages={41--46},
     year={},
     url={http://www.ijirst.org/articles/IJIRSTV3I6007.pdf},
     publisher={IJIRST (International Journal for Innovative Research in Science & Technology)},
}



Abstract:

We introduce a new concept of generalized metric spaces and extend some well-known related fixed point theorems including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point result due to Ran and Reurings, and a fixed point result due to Nieto and Rodríguez-López. This new concept of generalized metric spaces and extend some well-known related fixed point theorems recover various topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular spaces.


Keywords:

metric spaces, b-metric spaces, dislocated metric spaces, modular space, fixed point partial order


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