A COMPARATIVE STUDY OF
RELATIONSHIP AMONG VARIOUS TYPES OF SPACES
Thokchom Chhatrajit Singh1, Yumnam Rohen Singh2
1,2National Institute of Technology
Manipur Takyelpat Imphal, Manipur, Pin: 795001, INDIA
Abstract. In this note we establish the relationship amongst metric space, b-metric space, cone metric space and cone b-metric space. We show that the cone b-metric space generalizes the metric space, b-metric space and cone metric space.
AMS Subject classification: 47H10, 54H25
Keywords and phrases: b-metric, cone metric space, cone b-metric space, fixed point theorem


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DOI: 10.12732/ijam.v28i1.3

Volume: 28
Issue: 1
Year: 2015