-Metric Space: A Generalization

Farshid Khojasteh, Erdal Karapınar and Stojan Radenović

Mathematical Problems in Engineering, 2013, vol. 2013, 1-7

Abstract:

We introduce the notion of -metric as a generalization of a metric by replacing the triangle inequality with a more generalized inequality. We investigate the topology of the spaces induced by a -metric and present some essential properties of it. Further, we give characterization of well-known fixed point theorems, such as the Banach and Caristi types in the context of such spaces.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:504609

DOI: 10.1155/2013/504609

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