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math.FA2018★ 1 cited
Topological developments of -metric spaces
Ashis Bera, Lakshmi Kanta Dey, Hiranmoy Garai +1
In this manuscript, we claim that the newly introduced -metric spaces are Hausdorff and also first countable. Moreover, we assert that every separable -me…
math.FA2018
Common solution to a pair of non-linear matrix equations via fixed point results
Hiranmoy Garai, Lakshmi Kanta Dey
In this article, we propose an idea to develop some sufficient conditions for the existence and uniqueness of a positive definite common solution to a pair of non-linear matrix equ…
math.FA2018★ 2 cited
The contractive principle for mappings in -metric spaces
Hiranmoy Garai, Lakshmi Kanta Dey, Pratikshan Mondal
In this article, we introduce the notions of sequentially compactness and boundedly compactness in the framework of a newly defined -metric space which is a generalization…