Quasi pseudo metric spaces pdf

Some properties and applications of fuzzy quasipseudo. On the moduli spaces of leftinvariant pseudo riemannian metrics on lie groups kubo, akira, onda, kensuke, taketomi, yuichiro, and tamaru, hiroshi, hiroshima mathematical journal, 2016 sigma models, minimal surfaces and some ricci flat pseudo riemannian geometries gurses, metin, 2001. Pdf we introduce the concept of a quasipseudometric type space and prove some fixed point theorems. Quasi pseudometric type relax the triangle inequality. Pdf contribution of fixed point theorem in quasi metric.

Thus, wilson 1931 introduced the notion of quasimetric space, kim 1968 introduced pseudoquasimetric spaces, and matthews 1994 intro duced the. Pdf quasipseudometric properties of the nikodymsaks space. Cauchy sequences in quasipseudometric spaces springerlink. This paper contains a study of families of quasipseudometrics generated by probabilisticquasipseudometricspaces which are generalization of probabilistic metric spaces pmspaces 2, 3, 4, 6. The definitions proposed allow versions of such classical theorems as the baire category theorem, the contraction principle and cantors characterization of completeness to be formulated in the quasi pseudo metric setting. It is clear that b metric spaces, quasib metric spaces and b metriclike spaces are dqb metric spaces but converse is not true. Some properties and applications of fuzzy quasipseudometric. Metric space, contraction mapping, fixed point theorem, quasi metric space, pconvergent, porbit ally continuous. This pap er contains a study of families of quasi pseudo metrics generated by probabilistic quasi pseudo metric spaces. A quasipseudo metric space with compatible weight on a set x is a triple x, q, w where q. Xxxr is called a metric or distance function if ad only if. Pdf on quasipseudometric type spaces collins amburo. Then the pair x,d is called dislocated quasi bmetric space or in short dqb metric space. I f d is a quasipseudo metric on x, then its con jugate denoted by d.