On Soft Pre-Compact Maps

Mustafa Shamkhi; Hiyam Hassan Kadhem

doi:10.31185/wjcm.Vol1.Iss2.30

On Soft Pre-Compact Maps

Authors

Mustafa Shamkhi University of kufa
Hiyam Hassan Kadhem Faculty of Education, Kufa University, Iraq

DOI:

https://doi.org/10.31185/wjcm.Vol1.Iss2.30

Keywords:

Soft Pre-Compact

Abstract

This paper holds to establish a soft pre-compact map and to investigate its associations with soft pre-compact maps, almost soft pre-compact maps, A-almost soft compact maps, A*-almost soft compact maps, mildly soft semi-compact maps, M-mildly soft compact maps besides M*-mildly soft compact maps which are utilized from the relations between their spaces under some conditions or without conditions. Consequently, the composition factors of soft pre-compact maps with soft pre-compact maps, almost soft pre-compact maps, and mildly soft pre-compact maps, A-almost soft compact maps, M-mildly soft compact maps are studied based on the previous association between them. Many examples are given to explain the relationships between the topologies and relations of the soft set.

Author Biography

Hiyam Hassan Kadhem, Faculty of Education, Kufa University, Iraq

References

D. Molodtsov, Soft set theory-first results, Computers and Mathematics with Applications, vol. 37, no. 4-5, pp. 19–31, 1999. DOI: https://doi.org/10.1016/S0898-1221(99)00056-5

P. K. Maji, R. Biswas, and A. R. Roy, Soft set theory, Computers and Mathematics with Applications, vol. 45, pp. 555-562, 2003. DOI: https://doi.org/10.1016/S0898-1221(03)00016-6

K. V. Babitha, and J. J. Sunil, Soft set relations and functions, Computers and Mathemat-ics with Applications 60 (2010) 1840-1849. DOI: https://doi.org/10.1016/j.camwa.2010.07.014

M. Shabir and M. Naz, On soft topological spaces, Computers & Mathematics with Appli-cations, vol. 61, no. 7, pp. 1786–1799, 2011. DOI: https://doi.org/10.1016/j.camwa.2011.02.006

A. Aygünoğlu and H. Aygün, Some notes on soft topological spaces, Neural Comput. and Applic. , vol. 21, pp. S113–S119, 2012. DOI: https://doi.org/10.1007/s00521-011-0722-3

T. Hida, A comparison of two formulations of soft compactness, Ann. Fuzzy Math. In-form. , 8(2014), 511–524.

T. M. Al-Shami, M. E. El-Shafei, and M. Abo-Elhamayel, Almost soft compact and approximately soft Lindelöfspaces, Journal of Taibah University for Science, vol. 12, no. 5, pp. 620–630, 2018. DOI: https://doi.org/10.1080/16583655.2018.1513701

A. Kharal and B. Ahmad, Maps of soft classes, New Mathematics and Natural Computa-tion, Vol. 7, no. 7, pp. 471- 481, 2011. DOI: https://doi.org/10.1142/S1793005711002025

I. Zorlutuna, M. Akdag, W. K. Min, and S. Atmaca, “Remarks on soft topological spac-es,” Annals of Fuzzy Mathematics and Informatics, vol. 3, no. 2, pp. 171–185, 2012.

D. Wardowski., “On a soft map and its fixed points”, Journal of Wardowski Fixed Point Theory and Applications, 2013/1/182, 1-11. DOI: https://doi.org/10.1186/1687-1812-2013-182

S. Nazmul, S. Samanta,'' Neighbourhood features of soft topologic spaces,'' Annals of Fuzzy Mathematics and Informatics. , Volume x, No. x, (Month 201y), pp. 1–xx. 2012.

B. Chen, Soft semi-open sets and related features in soft topological spaces, Applied Math-ematics and Information Sciences 7 (1) (2013), 287–294. DOI: https://doi.org/10.12785/amis/070136

A. Kandil, O. A. E. Tantawy, S. A. El-Sheikh, A. M. Abd El-Latas long as,''γ-operation and decompositions of some forms of soft continuity in soft topological spaces,'' Annals of Fuzzy Mathematics and Informatics, Volume x, No. x, (Month 201y), pp. 1–xx,(2013).

T. Al-shami, M. El-Shafe,” On soft compact and soft Lindel¨of spaces via soft pre-open sets” Annals of Fuzzy Mathematics and Informatics, Volume x, No. x, (Month 201y), pp. 1–xx,2018. DOI: https://doi.org/10.30948/afmi.2019.17.1.79

I. Arockiarani and A. Lancy, Generalized soft gβ- closed sets and soft gsβ-closed sets insoft topological spaces, International Journal Of Mathematical Archive 4 (2) (2013) 1–7.