- - - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P. O. Box ۴۷۴۱۶-۱۴۶۸, Babolsar, Iran.
- - - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P. O. Box ۴۷۴۱۶-۱۴۶۸, Babolsar, Iran.
- - - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P. O. Box ۴۷۴۱۶-۱۴۶۸, Babolsar, Iran.

IIn this paper, we introduce the concept of regular linear operators. We prove that the regular linear operators preserve the normality, linear independence and dimension of weak hypervector spaces and prove some important results.

Essential point, Regular linear operator, Weak hypervector space