Let p [greater than or equal to] 2 be fixed, X be a real Banach space and K a non-empty,

convex subset of X.

Throughout this paper, we always assume that C is a nonempty, closed and

convex subset of a real Hilbert space H.

Let C be a nonempty closed

convex subset of H and let F : C x C [right arrow] R be a bifunction satisfying (A1)-(A4).

Let K be a nonempty, closed and

convex subset in H.

n] : X (x) [greater than or equal to] [alpha]} is a nonempty compact,

convex subset of [R.

Let C be a nonempty

convex subset of a real Banach space E with dual E*.

Let K be a nonempty closed

convex subset of X and T : K [right arrow] K be a mapping.

1]) Assume that C is a closed

convex subset of a real Hilbert space H.

Since the closure B = cl(S(a)) is a closed, idempotent, bounded and absolutely

convex subset in A (see, for example, [27], pp.

3] Let E be a real Banach space, K be a nonempty closed

convex subset of E, [T.

For all x [member of] ir(dom(f)), [partial derivative]f (x) is a non-empty closed

convex subset.

n] :X(x) [greater than or equal to] [alpha]} is a non empty compact

convex subset of [R.