Approximate fixed point theorems for the generalized ΨΨ-set contraction mappings on an almost ΦΦ-space

In this paper, we use the conception of the abstract convexity to define the almost S-KKMCS-KKMC mapping, al-S-KKMc(X,Y,Z)al-S-KKMc(X,Y,Z) family, and almost ΦΦ-spaces. In the setting of the almost ΦΦ-spaces, we establish some new fixed point theorems for the al-S-KKMcal-S-KKMc type set-valued mapping which is a generalized ΨΨ-set contraction mapping. Our results generalize the results of Amini et al. (2007) [4].