On multifunctions |
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| Institution: | 1. Department of Mathematics, Faculty of Science, Tanta Univesity, Tanta, Egypt;2. Department of Mathematics, Faculty of Education, Suez Canal University, El-Arish, Egypt;1. Department of Mathematics and Information Science, Faculty of Science, Chang''an University, Xi''an, Shaan''xi 710064, PR China;2. School of Highway, Chang''an University, Xi''an, Shaan''xi 710064, PR China;1. Department of Computer and Information Sciences, Niagara University, NY 14109, USA;2. Department of Computer Science and Engineering, State University of New York at Buffalo, USA |
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| Abstract: | In this paper, we introduce and study γ-continuous multifunctions as a generalization of quasi-continuous multifunctions due to Popa in 1985 and precontinuous multifunctions due to Popa in 1988. Some characterizations and several properties concerning upper (lower) γ-continuous multifunctions are obtained. The relationships between upper (lower) γ-continuous multifunctions and some known concepts are also discussed. |
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