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THE FIXED POINT PROPERTY AND UNBOUNDED SETS IN BANACH SPACES

THE FIXED POINT PROPERTY AND UNBOUNDED SETS IN BANACH SPACES

Let E be a smooth, strictly convex and reflexive Banach space, let J be the duality mapping of E and let C be a nonempty closed convex subset of E.Then, a mapping S :for all x, y ∈ C, where φ(x, y) = x 2 -2 x, Jy + y …