Θ-Metric Space: a Generalization

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Abstract

We introduce the notion of theta-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 theta-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.

Description

KARAPINAR, ERDAL/0000-0002-6798-3254; khojasteh, farhsid/0000-0002-3479-7674; Radenovic, Stojan/0000-0001-8254-6688; Khojasteh, Farshid/0000-0002-9300-8487