Some results in function weighted b-metric spaces

Abstract

<abstract> <p>In this paper, we introduce <italic>F</italic>-<italic>b</italic>-metric space (function weighted <italic>b</italic>-metric space) as a generalization of the <italic>F</italic>-metric space (the function weighted metric space). We also propose and prove some topological properties of the <italic>F</italic>-<italic>b</italic>-metric space, the theorems of fixed point and the common fixed point for the generalized expansive mappings, and an application on dynamic programing.</p> </abstract>

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