θ-Metric Space: A Generalization
θ-Metric Space: A Generalization
We introduce the notion of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>θ</mml:mi></mml:mrow></mml:math>-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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:mi>θ</mml:mi></mml:mrow></mml:math>-metric and present some essential properties of it. Further, we give characterization of well-known fixed point …