摘要
In this paper, we use the conception of the abstract convexity to define the almost S - K K M C mapping, a l - S - K K M c (X, Y, Z) family, and almost Φ-spaces. In the setting of the almost Φ-spaces, we establish some new fixed point theorems for the a l - S - K K M c type set-valued mapping which is a generalized Ψ-set contraction mapping. Our results generalize the results of Amini et al. (2007) [4]. Crown Copyright © 2009.