Affiliation:
1. Universiti Kebangsaan Malaysia
2. Al AL-Bayat University
3. Yatsushiro College of Technology
Abstract
The purpose of the present paper is to introduce and investigate two new classes of continuous multifunctions called upper/lower $e$-$\I$-continuous multifunctions and upper/lower $\delta\beta_I$-continuous multifunctions by using the concepts of $e$-$\I$-open sets and $\delta\beta_I$-open sets. The class of upper/lower $e$-$\I$-continuous multifunctions is contained in that of upper/lower $\delta\beta_I$-continuous multifunctions. Several characterizations and fundamental properties concerning upper/lower $e$-$\I$-continuity and upper/lower $\delta\beta_I$-continuity are obtained.
Funder
Pusat Penyelidikan Automotif, Universiti Kebangsaan Malaysia
Ministry of Higher Education, Malaysia
Publisher
Sociedade Paranaense de Matematica
Reference25 articles.
1. 1. M.E. Abd El-Monsef and A. A. Nasef, On Multifunctions, Chaos,Soliton and Fractals, 12 (2001), 2387-2394.
2. 2. F. G. Arenas, J. Dontchev and M. L. Puertas, Idealization of some weak separation axioms, Acta Math. Hungar., 89 (1-2) (2000), 47- 53.
3. 3. Al-Omeri W., Noorani M. S. M. & Al-Omari A. 2015. ON e-I-open sets, e-I-continuous functions and decomposition of continuity. J. Math. Appl.. No 38, pp (15-31).
4. 4. W. Al-Omeri, M. Noorani and A. Al-Omari, New forms of contra-continuity in ideal topology spaces, Missouri J. Math. Sci., 26 (1) (2014), 33-47.
5. 5. T. Banzaru, On the upper semicontiuity of upper topological limit for multifunction nets, Semin. Mat. Fiz. Inst. Politeh. "Tnaian Vuia" Timisoara, (1983), 59-64.
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献