A New Class of Closed Set in Digital Topology

Pallavi S. Mırajakar; Prakashgouda G. Patıl

Research Article

Year 2020, Issue: 31, 108 - 113, 30.06.2020

Pallavi S. Mırajakar Prakashgouda G. Patıl

Abstract

References

A. Rosenfeld, Digital Topology, Amer. Math. Monthly 86 (1979) 621-630.
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.
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.
R. Devi and M. Vigneshwaram, g*-Closed Sets in the Digital Plane, Int. Jl. of General Topology, 4(1-2) (2011) 91-95.
R. Devi and M. Vigneshwaran, On GO-Kernel in Digital Plane, Int. Jl. of Mathematical Archive, 3(6) (2012) 2358-2373.
E. D. Khalimsky, R. Kopperman and P. R. Meyer, Computer Graphics and Connected Topologies in Finite Ordered Set, Topology Applications, 36 (1990) 1-17.
T. Y. Kong, R. Kopperman and P. R. Meyer, A Topologies Approach to Digital Topology, Amer. Math. Monthly, 98 (1991) 901-907.
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.
S. S. Benchalli, P. G. Patil and P. M. Nalwad, w\alpha-closed sets in topological spaces, The Global J. Appl. Maths Math. Sciences, 2(1-2) (2009) 53-63.
P. G. Patil, S. S. Benchalli and Pallavi S. Mirajakar, Generalized Star w\alpha-spaces in Topological Spaces, Int. Jl. of Scientic and Innovative Mathematical Research, 3 Special Issue 1 (2015) 399-391.
S. S. Benchalli, P. G. Patil and P. M. Nalwad, some weaker forms of continuous functions in topological spaces, Jl. of Advanced Studies in Topology, 7(2) (2016) 101-109.

A New Class of Closed Set in Digital Topology

Year 2020, Issue: 31, 108 - 113, 30.06.2020

Pallavi S. Mırajakar Prakashgouda G. Patıl

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.

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Keywords

g*w\alpha-closed set , g*w\alpha-open set , digital plane

References

A. Rosenfeld, Digital Topology, Amer. Math. Monthly 86 (1979) 621-630.
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.
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.
R. Devi and M. Vigneshwaram, g*-Closed Sets in the Digital Plane, Int. Jl. of General Topology, 4(1-2) (2011) 91-95.
R. Devi and M. Vigneshwaran, On GO-Kernel in Digital Plane, Int. Jl. of Mathematical Archive, 3(6) (2012) 2358-2373.
E. D. Khalimsky, R. Kopperman and P. R. Meyer, Computer Graphics and Connected Topologies in Finite Ordered Set, Topology Applications, 36 (1990) 1-17.
T. Y. Kong, R. Kopperman and P. R. Meyer, A Topologies Approach to Digital Topology, Amer. Math. Monthly, 98 (1991) 901-907.
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.
S. S. Benchalli, P. G. Patil and P. M. Nalwad, w\alpha-closed sets in topological spaces, The Global J. Appl. Maths Math. Sciences, 2(1-2) (2009) 53-63.
P. G. Patil, S. S. Benchalli and Pallavi S. Mirajakar, Generalized Star w\alpha-spaces in Topological Spaces, Int. Jl. of Scientic and Innovative Mathematical Research, 3 Special Issue 1 (2015) 399-391.
S. S. Benchalli, P. G. Patil and P. M. Nalwad, some weaker forms of continuous functions in topological spaces, Jl. of Advanced Studies in Topology, 7(2) (2016) 101-109.

There are 11 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Research Article
Authors	Pallavi S. Mırajakar This is me Prakashgouda G. Patıl This is me
Submission Date	September 20, 2019
Publication Date	June 30, 2020
Published in Issue	Year 2020 Issue: 31

Cite

APA	Mırajakar, P. S., & Patıl, P. G. (2020). A New Class of Closed Set in Digital Topology. Journal of New Theory(31), 108-113.
AMA	Mırajakar PS, Patıl PG. A New Class of Closed Set in Digital Topology. JNT. June 2020;(31):108-113.
Chicago	Mırajakar, Pallavi S., and Prakashgouda G. Patıl. “A New Class of Closed Set in Digital Topology”. Journal of New Theory, no. 31 (June 2020): 108-13.
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	P. S. Mırajakar and P. G. Patıl, “A New Class of Closed Set in Digital Topology”, JNT, no. 31, pp. 108–113, June2020.
ISNAD	Mırajakar, Pallavi S. - Patıl, Prakashgouda G. “A New Class of Closed Set in Digital Topology”. Journal of New Theory 31 (June2020), 108-113.
JAMA	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, 2020, pp. 108-13.
Vancouver	Mırajakar PS, Patıl PG. A New Class of Closed Set in Digital Topology. JNT. 2020(31):108-13.