... A3’ is acceptable. On the other hand, the definition of Dnis of some interest.If Si S for each i 1, 2, ,N1, fi f for each i 1, 2, ,N2 and Ai A for eachi 1, 2, ,N3, then Theorem ... denote the set of fixed points of T by FT. Tis called to be nonexpansive if Tx − Ty≤x − y for all x, y ∈ C and quasi-nonexpansiveif FT/ ∅ and x − Ty≤x − y for all x ∈ FT and y ∈ C.Apointp ... each i 1, 2, ,N2 and j 1, 2, ,N3.Thatis,x∗∈F. Then by the final part of proof of Theorem 3.1, we havexn→ x∗ PFx1. This completes the proof.4 Fixed Point Theory and Applicationswhere...