ON upper and lower SP-θ (semi-pre-θ)-Continuous Multifunctions

Authors

  • Alaa Mahmood Farhan Huazhong University of Science and Technology Wuhan city, Hubei province, China, Post.No.430074 Anbar University, College of Education for Pure Sciences, Al-Ramadi city, Iraq, P.O.Box: (55 Ramadi)
  • Xiao Song Yang Huazhong University of Science and Technology Wuhan city, Hubei province, China, Post.No.430074

DOI:

https://doi.org/10.24297/jam.v6i2.3652

Keywords:

b-θ-open sets, β-θ-open sets, upper (lower) b-θ-continuous multifunctions, upper(lower) β-θ-continuous multifunctions.

Abstract

In this paper we introduce and investigate a new types of multifunctions called upper(lower) sp-θ-continuous multifunctions and upper(lower) semi-pre-θ-continuous multifunctions by using the notions in [1]. The concept of upper(lower) sp-θ-continuous multifunctions is stronger than both upper(lower) sp-continuous multifunctions [1] and upper(lower) semi-pre-θ-continuous multifunctions. And the concept of  upper(lower) semi-pre-θ-continuous multifunctions is a generalization of upper(lower) sp-θ-continuous multifunctions and stronger than upper(lower) semi-pre-continuous multifunctions. Furthermore, the relationships among these notions and other of well-known types of multifunctions are also discussed.

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Author Biographies

Alaa Mahmood Farhan, Huazhong University of Science and Technology Wuhan city, Hubei province, China, Post.No.430074 Anbar University, College of Education for Pure Sciences, Al-Ramadi city, Iraq, P.O.Box: (55 Ramadi)

School of Mathematics and Statistics

Xiao Song Yang, Huazhong University of Science and Technology Wuhan city, Hubei province, China, Post.No.430074

School of Mathematics and Statistics
JOURNAL OF ADVANCES IN MATHEMATICS

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Published

2014-02-17

How to Cite

Farhan, A. M., & Yang, X. S. (2014). ON upper and lower SP-θ (semi-pre-θ)-Continuous Multifunctions. JOURNAL OF ADVANCES IN MATHEMATICS, 6(2), 988–998. https://doi.org/10.24297/jam.v6i2.3652

Issue

Vol. 6 No. 2 (2014)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

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