1), and u (vt,t) is a strictly increasing function of t.

1) has a unique nonnegative continuous solution u, and u (vt,t) is a strictly increasing function of t.

n,k]([lambda], c) (for a fixed value of k and n > 0) is a strictly increasing function of [lambda].

1, the zeros of these polynomials are strictly increasing functions with respect to the parameter c.

A mapping T is called strongly [phi]-pseudocontractive if for all x, y [member of] C, there exist j(x--y) [member of] J(x - y) and a strictly increasing function [phi] : [0, [infinity]) [right arrow] [0, [infinity]) with [PHI](0) = 0 such that

and is called generalized strongly [PHI]-pseudocontractive if for all x, y [member of] C, there exist j(x - y) e J(x - y) and a strictly increasing function [PHI] : [0, to) - [0, to) with [PHI](0) = 0 such that

where F is a

strictly increasing function and h([x.

ii) If u, v [member of] (-[infinity], 0], then f (u, v) isa strictly decreasing function in u, and a

strictly increasing function in v.

Since [beta]([rho]) is a strictly increasing C[infinity] function tending to +[infinity] as [rho][right arrow] +[infinity], the inverse function [rho] = [gamma]([delta]) is also a C[infinity] strictly increasing function of [delta] tending to +[infinity] as [delta] [right arrow] +[infinity].

The function E(G) is a strictly increasing function of G such that E(G) [right arrow] + [infinity] as G [right arrow] +[infinity].

d) f (x, x) is a

strictly increasing function in (-[infinity], + [infinity]).

0] l(u)du = [beta] ([rho]) is a

strictly increasing function of [rho] tending to + [infinity] as [rho] [right arrow] + [infinity], the inverse function [rho] = [gamma] ([sigma]) is also a

strictly increasing function of a tending to + [infinity] as [delta] [right arrow] + [infinity].