MMN-1398

Algebraic cone $b$-metric spaces and its equivalence

Abstract

In the present work, we introduce the notion of algebraic cone b-metric spaces, which is a generalization of algebraic cone metric space. Then we prove that for every complete algebraic b-metric space there exists a correspondent isomorphic complete usual (associated) b-metric space via two approach (nonlinear scalarization function and Minkowski functional).


Vol. 17 (2016), No. 1, pp. 553-560
DOI: 10.18514/MMN.2016.1398


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