θ -Metric Space: A Generalization

الملخص EN

We introduce the notion of θ-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 θ-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.