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

Dong ZHANG

doi:https://doi.org/10.31197/atnaa.379113

Article Details

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

Authors:

Dong ZHANG

Publisher:

Erdal KARAPINAR

Main Topics:

Mathematics

Journal:

Advances in the Theory of Nonlinear Analysis and its Application 2017 Vol.1 Issue 1, pp.48-56

Document Type:

Article

Publication Date:

9/2017

Document Language:

English

Document ID (Org No.):

2000842326

Frequency:

Quarterly

eISSN:

2587-2648

DOI:

https://doi.org/10.31197/atnaa.379113

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.

Article Details

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

Authors: Dong ZHANG

Publisher: Erdal KARAPINAR

Main Topics: Mathematics

Journal: Advances in the Theory of Nonlinear Analysis and its Application 2017 Vol.1 Issue 1, pp.48-56

Document Type: Article

Publication Date: 9/2017

Document Language: English

Document ID (Org No.): 2000842326

Frequency: Quarterly

eISSN: 2587-2648

DOI: https://doi.org/10.31197/atnaa.379113

Issues

Authors:

Dong ZHANG

Publisher:

Erdal KARAPINAR

Main Topics:

Mathematics

Journal:

Advances in the Theory of Nonlinear Analysis and its Application 2017 Vol.1 Issue 1, pp.48-56

Document Type:

Article

Publication Date:

9/2017

Document Language:

English

Document ID (Org No.):

2000842326

Frequency:

Quarterly

eISSN:

2587-2648

DOI:

https://doi.org/10.31197/atnaa.379113