Research Article

A New Class of Closed Set in Digital Topology

Number: 31 June 30, 2020
  • Pallavi S. Mırajakar *
  • Prakashgouda G. Patıl
EN

A New Class of Closed Set in Digital Topology

Abstract

The purpose of this paper is to introduce a new class of closed set called g*w\alpha-closed sets in digital topology. We establish a relationship between closed and g*w\alpha-closed sets in digital topology. Also, we obtained the properties of g*w\alpha-closed sets in digital plane. -

Keywords

References

  1. A. Rosenfeld, Digital Topology, Amer. Math. Monthly 86 (1979) 621-630.
  2. R, Devi, K. Bhuvaneshwari and H. Maki, Weak Form of g*-closed Sets, where \rho \in \alpha, \alpha*, \alpha** and The Digital Plane, Mem. Fac. Sci. Kochi Univ. Math. 25 (2004) 37-54.
  3. R. Devi, S. N. Rajapriya, K. Muthukumarswamy and H. Maki, \xi-Closed Sets in Topological Spaces and Digital Planes, Scientiae Mathematicae Japanicae, Online e-2006 615-631.
  4. R. Devi and M. Vigneshwaram, g*-Closed Sets in the Digital Plane, Int. Jl. of General Topology, 4(1-2) (2011) 91-95.
  5. R. Devi and M. Vigneshwaran, On G O-Kernel in Digital Plane, Int. Jl. of Mathematical Archive, 3(6) (2012) 2358-2373.
  6. E. D. Khalimsky, R. Kopperman and P. R. Meyer, Computer Graphics and Connected Topologies in Finite Ordered Set, Topology Applications, 36 (1990) 1-17.
  7. T. Y. Kong, R. Kopperman and P. R. Meyer, A Topologies Approach to Digital Topology, Amer. Math. Monthly, 98 (1991) 901-907.
  8. P. G. Patil, S. S. Benchalli and Pallavi S. Mirajakar, Generalized Star w\lpha-closed Sets in Topological Spaces, Jl. of New Results in Science, 9 (2015) 37-45.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Pallavi S. Mırajakar * This is me
India

Prakashgouda G. Patıl This is me
India

Publication Date

June 30, 2020

Submission Date

September 20, 2019

Acceptance Date

June 28, 2020

Published in Issue

Year 2020 Number: 31

APA
Mırajakar, P. S., & Patıl, P. G. (2020). A New Class of Closed Set in Digital Topology. Journal of New Theory, 31, 108-113. https://izlik.org/JA33ER55NY
AMA
1.Mırajakar PS, Patıl PG. A New Class of Closed Set in Digital Topology. JNT. 2020;(31):108-113. https://izlik.org/JA33ER55NY
Chicago
Mırajakar, Pallavi S., and Prakashgouda G. Patıl. 2020. “A New Class of Closed Set in Digital Topology”. Journal of New Theory, nos. 31: 108-13. https://izlik.org/JA33ER55NY.
EndNote
Mırajakar PS, Patıl PG (June 1, 2020) A New Class of Closed Set in Digital Topology. Journal of New Theory 31 108–113.
IEEE
[1]P. S. Mırajakar and P. G. Patıl, “A New Class of Closed Set in Digital Topology”, JNT, no. 31, pp. 108–113, June 2020, [Online]. Available: https://izlik.org/JA33ER55NY
ISNAD
Mırajakar, Pallavi S. - Patıl, Prakashgouda G. “A New Class of Closed Set in Digital Topology”. Journal of New Theory. 31 (June 1, 2020): 108-113. https://izlik.org/JA33ER55NY.
JAMA
1.Mırajakar PS, Patıl PG. A New Class of Closed Set in Digital Topology. JNT. 2020;:108–113.
MLA
Mırajakar, Pallavi S., and Prakashgouda G. Patıl. “A New Class of Closed Set in Digital Topology”. Journal of New Theory, no. 31, June 2020, pp. 108-13, https://izlik.org/JA33ER55NY.
Vancouver
1.Pallavi S. Mırajakar, Prakashgouda G. Patıl. A New Class of Closed Set in Digital Topology. JNT [Internet]. 2020 Jun. 1;(31):108-13. Available from: https://izlik.org/JA33ER55NY

 

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