Fixed-Point Theorems Involving Small Lipschitz.

The small Lipschitz is a generalization of the Lipschitz condition. The Lipschitz condition guarantees the uniqueness of the solution of the initial value problems. A special Lipschitz condition in the small is a contraction in the small. Based on the small Lipschitz in this paper, fixed-point theorems involving contraction in the small will be presented. The results will be applied to develop Picard's theorem. [ABSTRACT FROM AUTHOR]