- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 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
Authors : Dong ZHANG
Pages : 48-56
Doi:10.31197/atnaa.379113
View : 5 | Download : 2
Publication Date : 2017-09-30
Article Type : Research
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