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On S-Subcontinuous multifunctions | ||
| journal of the college of basic education | ||
| Article 1, Volume 17, Issue 70, 2011, Pages 49-56 | ||
| Author | ||
| Adea. K. Al-Obiadi | ||
| Abstract | ||
| R.V. Fuller in [5] introduced the concept of subcontinuous function and used it to obtain conditions implying continuity. In [9] R. E. Simthson extended this concept to multifunctions and used it to obtain a number of results on multifunctions, and also developed criteria under which a multifunction is upper semi continuous. In this paper we introduce the notion of s-subcontinuity for multifunction as a generalization of subcontinuity and use it to obtain many results on multifunction with s-closed graphs. Conditions implying upper semi continuity [8] for multifunction are derived. Several characterizations for upper semi-continuity and lower semi continuity [8] are obtained using filterbasis. | ||
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