The Mann process for perturbed m-accretive operators in Banach spaces

On the Existence and Iterative Approximation Problems of Solutions for Set-Valued Variational Inclusions in Banach Spaces

“…By using Michael's selection theorem [16] and Nadler's theorem [18] some existence theorems and some iterative algorithms for solving this kind of set-valued variational inclusions in Banach spaces are established and suggested. The results presented in this paper generalize, improve, and unify the corresponding results of Noor [19][20][21][22][23][24], Ding [8], Huang [10], Kazmi [12], Jung and Morales [11], Liu [14], Hassouni and Mouafi [9], Zeng [28], and Chang [2][3][4][5].…”

“…(ii) Theorems 4.1-4.4 generalize, improve, and unify the corresponding recent results of Noor [19][20][21][22][23][24], Liu [14], Ding [8], Huang [10], Kazmi [12], Chang [2][3][4][5], Jung and Morales [11], Hassouni and Moudafi [9], and Zeng [28].…”

Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces

“…Then J is said to be weakly sequentially continuous if for each {x n } ∈ E with x n x, J (x n ) * J (x). We need the following lemma for the proof of our main results, which was given in Jung and Morales [11]. It is actually Lemma 1 of Petryshyn [15] (also see Asplund [1]).…”

Strong Convergence of Composite Iterative Methods for Nonexpansive Mappings

“…(Lemma 2.1 was also given in Jung and Morales [9] and Lemma 2.2 is essentially Lemma 2 of Liu [13] (also see [21])).…”