... ,λj,Njare the real numbers in 0, 1 satisfyingNji1λj,i 1. Then the sequence {xn} convergesstrongly to PFx1,wherePFis the projection from H onto F.Proof. By the proof of Theorem ... A3,itisnoteasier to verify the condition A3 than verify the condition A3’. Hence, from this point, the condition A3’ is acceptable. On the other hand, the definition of Dnis of some interest.If ... Jx1− Jp≥ 0, ∀p ∈F. 3.36In view of Lemma 2.1, we can obtain that x∗ΠFx1. This completes the proof.Remark 3.2. Obviously, the proof process of x∗∈ N2i1EPfi∩N3i1VIC,...