... 367–372, 1965.7 F. E. Browder, Fixed- point theorems for noncompact mappings in Hilbert space,” Proceedings of theNational Academy of Sciences of the United States of America, vol. 53, no. 6, pp. ... “Nonexpansive nonlinear operators in a Banach s pace,” Proceedings of the NationalAcademy of Sciences of the United States of America, vol. 54, no. 4, pp. 1041–1044, 1965.9 W. A. Kirk, “A fixed point theorem ... concept of the Hausdorffmetric, Husain and Tarafdar 13 introduced the notion of a nonexpansive-type multivaluedmap and proved a fixed point theorem on compact intervals of the real line. Using...