Let X be a Banach space, let K be a non-empty closed subset of X and let T : K →X be a non-self mapping. The main result of this paper is that if T satisfies the contractive-type condition (1.1) below and maps ∂K (∂K the boundary of K) into K, then T has a unique fixed point in K.
|Number of pages||6|
|Publication status||Published - 2003|
- Banach space
- Fixed point
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