Study the topology of Branciari metric space via the structure proposed by Csaszar

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:1 Issue:1
Study the topology of Branciari metric space via the structure proposed by Csaszar

Study the topology of Branciari metric space via the structure proposed by Csaszar

Pages : 48-56

View : 10 | Download : 8

Publication Date : 2017-09-30

Article Type : Research Paper

Abstract :In this paper, we topologically study the generalized metric space proposed by Branciari [3] via the weak structure proposed by Cs´asz´ar [9, 10], and compare convergent sequences in several diﬀerent senses. We also introduce the concepts of available points and unavailable points on such structures. Besides, we deﬁne the continuous function on structures and investigate further characterizations of continuous functions.
Keywords : Branciari metric space, generalized topology, structure

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