  The virtual skein relation for the Jones polynomial of the virtual link
diagram was introduced by N. Kamada, S. Nakabo, and S. Satoh. H. A. Dye, L. H.
Kauffman, and Y. Miyazawa introduced multivariable polynomial, an invariant of
virtual links, which is a refinement of Jones polynomial. In this paper, we
give a skein relation for the multivariable polynomials among positive,
negative, and virtual crossings with some restrictions. We apply this relation
to study some properties of virtual links obtained by replacing a real crossing
by a virtual crossing.
