Abstract
Let (E, parallel to . parallel to) be a Banach space with a cone P. Let T, phi(i) : E -> E (i = 1, 2, . . . , r) be a finite number of mappings. We obtain sufficient conditions for the existence of solutions to the problem
{Tx = x,
phi(i)(x) = 0(E), i = 1, 2, . . . , r,
where 0(E) is the zero vector of E, and T is a mapping satisfying a Ciric-contraction. Some interesting consequences are deduced from our main results.