[PDF] Top 20 Weak convergence of an iterative sequence for accretive operators in Banach spaces

... k (I − T )x − (I − T)y 2 (1.5) for all x, y ∈ C. For such a case, T is said to be k-strictly pseudocontractive. For finding a fixed point of a k-strictly pseudocontractive mapping, Browder and Petryshyn [5] proved the ... See full document

... Halpern-type iterative scheme to approximate common fixed points of an infinite family of quasi-nonexpansive mappings and obtain a strongly convergent iterative sequence to the common fixed points of ... See full document

... strongly accretive operator and B is an m- accretive operator, in the framework of uniformly convex and q-uniformly smooth Ba- nach ...valued iterative algorithms have been introduced by many authors ... See full document

... η-accretive operators, we prove the existence theorems and convergence theorems of the generalized random iterative algorithm for this nonlinear random equations with random fuzzy mappings in ... See full document

... an iterative sequence for finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of ... See full document

... a convergence theorem for a monotone operator satisfying a range condition; see Theorem ...a convergence theorem for a maximal monotone operator; see Theorem ... See full document

... of accretive operators recently have been extensively studied (see [–] and the references therein) because of their important applications in real ...m-accretive operators. Weak and ... See full document

... new iterative scheme for finding a common solution to a variational inclusion problem with a finite family of accretive operators and a modified system of variational inequalities in infinite-dimensional ... See full document

... an iterative method to approximate a solution of variational inequality ...strongly accretive operators. Strong convergence theorems are obtained in the framework of Banach ... See full document

... smooth Banach space E which admits a weakly sequentially continuous duality ...strongly accretive operator such that S(C, A) ≠ ...the sequence {x n } ... See full document

... Lemma 4 demiclosedness principle. Let E be a reflexive Banach space having a weakly sequentially continuous duality mapping, C a nonempty closed convex subset of E, and T : C → E a nonexpansive mapping. Then the ... See full document

... smooth Banach space E , let S be a com- mutative semigroup with identity, let ᏿ = { T (s) : s ∈ S } be a nonexpansive semigroup on C, and let F(᏿) be the set of common fixed points of ... See full document

... real Banach space, let T, V ,Z : E → Ᏺ(E) be three closed fuzzy mappings satisfying condition ( ∗ ) with functions a,b,c : E → [0, 1], respectively, let N( · , · ) : E × E → E be a single-valued continuous ... See full document

... Remark 2.2 . Our Theorem 2.1 generalized the theorem of Chidume [2] from uni- formly smooth Banach space to arbitrary Banach space and from Ishikawa iteration to Ishikawa iteration with errors. In addition, ... See full document

... convex Banach space with a uniformly Gâteaux differentiable norm, let C be a nonempty closed convex subset of E, let A : C → C be a continuous strongly pseudocontractive mapping with constant k ∈ [, ), and let T ... See full document

... Throughout this paper, we assume that N is the set of all positive integers. We consider that C is nonempty subset of a Banach space X and F (T ), the set of all fixed points of the mapping T on C. A mapping T : C ... See full document

... well-known iterative schemes for successive approximation of a solution of the equation Ax = f , where A is either uniformly accretive or strongly accretive, are the Ishikawa iteration process (see, ... See full document

... strong convergence of multi-step iterative scheme to a common solution for a finite family of φ-strongly accretive operator equations in a reflexive Banach space with weakly continuous duality ... See full document

... the iterative sequence with errors in metric ...the convergence of iterative sequence with errors for extended contractive mappings in metric ... See full document

... a Banach space E with the dual E ∗ , let T : C → E ∗ be a continuous mapping, and let S : C → C be a relatively nonexpansive ...these iterative algorithms converge strongly to the same solution of the VI T ... See full document