… in Hilbert spaces. They further proved a strong convergence theorem somewhat related to
… ’s type [7] for this class of mappings using an idea of mean convergence in Hilbert spaces. …

… Hilbert space, Mann’s algorithm has only weak convergence, in general, even for nonexpansive
mappings (see the example in [4]). Hence in order to have strong convergence, one has …

… Then, they proved fixed point theorems and weak convergence theorems of Baillon’s type
and Mann’s type for the mappings in a Hilbert space. In this paper, motivated by these results, …

… Then, we prove fixed point theorems for such nonlinear mappings in a Hilbert space. …
Theorems 1.1 and 1.2 in a Hilbert space. Finally, we prove a weak convergence theorem of Mann’s …

… 1, then Baillon [l] has shown that {ala} converges weakly to a fixed point of T. In this case Z, =
… In [4] we have established the weak convergence of the sequence (x.,~} generated by (2)-(3…

… Furthermore, we prove a mean convergence theorem of Baillon’s type without convexity in
a Hilbert space. Finally, we prove a weak convergence theorem of Mann’s type [12] without …

… We now prove a weak convergence theorem which is an extension of the weak convergence
part of Theorem 12 in [13] and corresponds to the case when T is not more demicompact. …

… In this paper, we always assume that H is a real Hilbert space with inner product 〈·, ·〉
and norm ·. Let C be a nonempty closed convex subset of H and let P rojC be the metric …

… The weak limit of the sequence denoted by the algorithm we … get some new weak convergence
theorems in Hilbert space. … a weak convergence result but strong convergence result …

… We introduce an iterative sequence and prove a weak convergence theorem for finding a …
in Hilbert spaces. Moreover, we apply our result to obtain a weak convergence theorem for …