... 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, ,N2and Ai A for eachi 1, 2, ,N3, then Theorem 3.1 reduces to the following ... 1,3.3712 Fixed Point Theory and ApplicationsSince E is uniformly smooth, we know that E∗is uniformly convex. In view ofLemma 2.7, we see that, for any p ∈F,φp, yn φp, J−1α0Jxn ... for all x ∈ C and p ∈ FT. The mapping T is said to be φ-nonexpansive if φTx,Ty ≤φx,y for all x, y ∈ C. T is called to be quasi-φ-nonexpansive 9 if FT/ ∅ and φp, Tx ≤φp, x for...