Upper and Lower δ<sub>ij</sub>-Continuous Multifunctions
Abstract
In this paper we introduce and study the notions of upper and lower δ<sub>ij</sub>-continuous multifunctions. Several characterizations and properties concerning upper and lower δ<sub>ij</sub>-continuous multifunctions and other known forms of multifunctions introduced previously are investigated.
Keywords
References
- [1] M. E. Abd El-Monsef and A. A. Nasef, On multifunctions. Chaos, Solitions and Fractals, 12(2001), 2387-2394.
- [2] C. Berge, Espacts topologiques, Fonctiones Hultivoques,Dunoud, Paris, 1959.
- [3] J. Coa and I. L. Reilly, Nearly compact spaces and ±¤-continuous functions, Bollerttino UMI, (7)10-A(1996), 435-444.
- [4] E. Ekici, Nearly continuous multifunctions. Acta Math. Univ. Comenianae 2(42) (2003), 229-235.
- [5] M. S. El-Naschie, Topics in the mathematical physics of E-In¯nity theory, Chaos, Solitons and Fractals 30(3)(2006), 656-663.
- [6] M. S. El-Naschine,, Quantum gravity, Cli®ord algebra, Fuzzy set theory and the fundamental constants of nature, Chaos, Solitons, Fractals 20(2004), 437-450.
- [7] A. Kandil, E. E. Kerre, M. E. EL-Sha®ei and A. A. Nouh, Quasi µ-proximity spaces and pairwise µ-perfect irreducible. J. Austral Math. Soc., (Series A) 25 (1992), 322-333.
- [8] J. C. Kelly, Bitopological spaces. Proc. London Math. Soc., 13(1963), 71-89.
- [9] E. Klein and A. C. Thompson, Theory of correspondence, including applications to mathematical economic, John Wiley and Sons, 1984.
- [10] Y. Kucuk, On some charecterizations of ±-continuous multifunctions. Demonstratio Mathematica 28 (1995)(3), 587-595.