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该文利用锥理论与单调迭代技巧讨论了u0 - 凸算子的不动点的存在唯一性,得到了在不具有连续性和紧性的条件下u0 - 凸增算子的新的不动点定理,并将所得的结果应用Hammerstein积分方程中.“,”In this paper, e - convex operator is discussed by means of semi - order theory. Without any compactness orcontinuity of the operator, the existence and uniqueness of fixed point is obtained. In the end, the new results are applied toHammerstein integral equation.