B-metric spaces, fixed points and Lipschitz functions
Ştefan Cobzaş
Abstract
Open-access reader
Ştefan Cobzaş
Abstract
Open-access reader
The paper is concerned with b-metric and generalized b-metric spaces. One proves the existence of the completion of a generalized b-metric space and some fixed point results. The behavior of Lipschitz functions on b-metric spaces of homogeneous type, as well as of Lipschitz functions defined on, or with values in quasi-Banach spaces, is studied.
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The paper is concerned with b-metric and generalized b-metric spaces. One proves the existence of the completion of a generalized b-metric space and some fixed point results. The behavior of Lipschitz functions on b-metric spaces of homogeneous type, as well as of Lipschitz functions defined on, or with values in quasi-Banach spaces, is studied.
Key concepts: Lipschitz continuity, Metric space, Mathematics, Metric map, Metric differential, Fixed point, Pure mathematics, Banach space