On Some New Continuous Mapping and Compactness in Neutrosophic Topological Spaces

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2022 by IJMTT Journal
Volume-68 Issue-8
Year of Publication : 2022
Authors : K. Ramesh, I. Mohammed Ali Jaffer
 10.14445/22315373/IJMTT-V68I8P503

How to Cite?

K. Ramesh, I. Mohammed Ali Jaffer, "On Some New Continuous Mapping and Compactness in Neutrosophic Topological Spaces," International Journal of Mathematics Trends and Technology, vol. 68, no. 8, pp. 21-31, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I8P503

Abstract
The intention of this article is to introduce and develop the concept of Neutrosophic almost gpr continuous mappings, Neutrosophic almost gpr closed mappings using NGPRCS and the interrelations between the new mappings and existing mappings are established. Also we extend our study to Neutrosophic gpr compactness in Neutrosophic topological spaces.

Keywords : Neutrosophic topology, Neutrosophic Point, NGPRCS, Neutrosophic almost gpr continuous mappings, Neutrosophic almost gpr closed mappings and Neutrosophic gpr compactness.

Reference

[1] I. Arokiarani, R. Dhavaseelan, Jafari S and Parimala M, “on Some New Notions and Functions in Neutrosophic Topological Spaces”, Neutrosophic Sets and Systems, vol. 16, pp. 16-19, 2017.
[2] K. T. Atanassov, “Intuitionistic Fuzzy Sets”, Fuzzy Sets and Systems, vol. 20, pp. 87-96, 1986.
[3] C. L. Chang, “Fuzzy Topological Spaces”, J.Math.Anal.Appl., vol. 24, pp. 182- 190, 1968.
[4] D. Coker, “An Introduction to Intuitionistic Fuzzy Topological Spaces”, Fuzzy Sets and Systems, vol. 88, no. 1, pp. 81-89, 1997.
[5] R. Dhavaseelan and S. Jafari, “Generalized Neutrosophic Closed Sets”, New Trends in Neutrosophic Theory and Applications, vol. 2, pp. 261-273, 2017.
[6] Floretin Smarandache, “Neutrosophic Set:- A Generalization of Intuitionistiic Fuzzy Set”, Journal of Defense Resourses Management, vol. 1, pp. 107–116, 2010.
[7] A. Harshitha and D. Jayanthi, “Regular a Generalized Closed Sets In Neutrosophic Topological Spaces”, Iosr Journal of Mathematics, vol. 15, no. 02, pp. 11-18, 2019.
[8] A. Harshitha and D. Jayanthi, “Regular a Generalized Continuous Mappings in Neutrosophic Topological Spaces” (Submitted).
[9] D. Jayanthi, “On a Generalized Closed Sets in Neutrosophic Topological Spaces”, International Conference on Recent Trends in Mathematics and Information Technology, pp. 88-91, 2018.
[10] I. Mohammed Ali Jaffer and K.Ramesh, “Neutrosophic Generalized Pre Regular Closed Sets”, Neutrosophic Sets and Systems, vol. 30, pp. 171-181, 2019.
[11] F. Prishka and D. Jayanthi, “Α Generalized Continuous Mappings in Neutrosophic Topological Spaces”, (Submitted).
[12] Parimala M, Jeevitha R, Smarandache F, Jafari S and Udhayakumar R, “Neutrosophic Αψ Homeomorphism In Neutrosophic Topological Spaces”, Information, vol. 9, no. 187, pp. 1-10, 2018.
[13] A. Pushpalatha and T. Nandhini, “Generalized Closed Sets Via Neutrosophic Topological Spaces”, Malaya Journal of Matematik, vol. 7, no. 1, pp. 50-54, 2019.
[14] A. A. Salama and S. A. Alblowi, “Neutrosophic Set and Neutrosophic Topological Spaces”, Iosr Jour. of Mathematics, pp. 31-35, 2012.
[15] A. A. Salama, Florentin Smarandache and Valeri Kroumov, “Neutrosophic Closed Set and Neutrosophic Continuous Function”, Neutrosophic Sets and Systems, vol. 4, pp. 4–8, 2014.
[16] Wadei Al-Omeri and Saeid Jafari, “on Generalized Closed Sets and Generalized Pre-Closed in Neutrosophic Topological Spaces”, Mathematics Mdpi, vol. 7, no. 1, pp. 01-12, 2018.
[17] L. A. Zadeh, “Fuzzy Sets”, Information and Control, vol. 8, pp. 338-353, 1965.