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SOME GENERALIZATIONS OF ULTRA CONTINUOUS MULTIFUNCTIONS


TAKASHI NOIRI 1 AND VALERIU POPA 2
1. 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken, 869- 5142 JAPAN,
e-mail: t.noiri@nifty.com
2. Department of Mathematics, Informatics and Education Sciences, Faculty of Sciences, "Vasile Alecsandri" University of Bacău, Calea Mărăşeşti 157, Bacău 600115, ROMANIA,
e-mail: vpopa@ub.ro

Issue:

SSRSMI, Number 2, Volume XXVI

Section:

Volume 26, Number 2

Abstract:

We introduce the notion of upper/lower (τ,m)-continuous multifunctions and obtain many characterizations of such multifunctions. The notion of upper/lower (τ,m)-continuous mul-tifunctions is a generalization of (τ,m)-continuous functions (V. Popa and T. Noiri, Rend Circ. Mat. Palermo (2) 51 (2002), 295-316) and upper/lower ultra continuous multifunc-tions due to Navalagi et al (G. B. Navalagi, M. Lellis Thivagar and R. Raja Rajeswari, Indian J. Math. Comput. Sci. Inform. Techn. 1(1) (2008), 69-74).

Keywords:

m-structure, m-space, bitopological space, multifunction, , m)-continuous, ultra continu-ous.

Code [ID]:

SSRSMI201602V26S01A0001 [0004494]

Full paper:

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