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;