It can be seen that both of scattering operator and translation operator have the combination of L and [+ or -] (1/2) [I.sup.r] + K operators instead of using

identity operator. So when using conventional Galerkin's scheme and RWG function to discretize the scattering and translation operators, this will lead to a more accuracy result [10].

First we note the fundamental difference between equations JMSIE and EHSIE, namely only the first one can lead to integral equations of the second kind, since the second one contains the rotation operator n x rather than the

identity operator.

For g [equivalent to] I, the

identity operator, Definition 2.1 reduces to the definition of partially relaxed strongly monotonicity, monotonicity and pseudomonotonicity of the bifunction F(*,*).

where [I.sub.2] is the

identity operator on [H.sub.2].

Let I be the

identity operator on [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].

*

Identity operator: Considering the

identity operator I, it is obvious that

If g = I, the

identity operator, then general variational inequality (2.6) is equivalent to finding u [member of] K such that

The linear space FL(V) is an algebra with identity I (the

identity operator on Y), the multiplication being composition of operators.

Several "right" inverses [D.sup.-1.sub.q] of the Askey-Wilson divided difference operator, such that [D.sup.-1.sub.q] [D.sub.q] = I and I is the

identity operator, were constructed in [20, 31, 33],

where I is the

identity operator on [mathematical expression not reproducible].

Indeed, the

identity operator of the Banach lattice [L.sup.1][0, 1] is almost Dunford-Pettis and fails to be Dunford-Pettis.

[e.sub.1]) [PHI] (t, t) = I (the

identity operator on X), for every t [greater than or equal to] 0;