SOME ELEGANT PROOFS IN 2-METRIC SPACE AND G-METRIC SPACE
Keywords:
2-metric space, G-metric space, infimum property, self-map, fixed pointAbstract
Elegant analytical proofs of some fixed point theorems in 2-metric space and G-metric space are presented through elementary set theoretical notions of real numbers and repeated use of the rectangle inequality of the G-metric, without an appeal to iterations. The unique fixed points obtained are shown to be contractive fixed points in these spaces.
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Published
2016-07-29
How to Cite
Phaneendra, T., & Swamy, K. K. (2016). SOME ELEGANT PROOFS IN 2-METRIC SPACE AND G-METRIC SPACE. Italian Journal of Pure and Applied Mathematics, 36, 801–818. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6483
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Section
Articoli - Forum Editrice
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Copyright (c) 2016 T. Phaneendra, K. Kumara Swamy
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
