[PDF] Top 20 Strong convergence theorem for quasi ϕ asymptotically nonexpansive mappings in the intermediate sense in Banach spaces

... Let E be a real Banach space with the dual space E ∗ and let C be a nonempty closed convex subset of E. We denote by R + and R the set of all nonnegative real numbers and the set of all real numbers, respectively. ... See full document

... of quasi-φ-nonexpansive mappings and the class of asymptotically quasi-φ -nonexpansive mappings are more general than the class of relatively nonexpan- sive ... See full document

... prove strong convergence theorems for asymptoti- cally quasi-nonexpansive mappings with respect to Bregman distances in the intermedi- ate sense by using the shrinking projection ... See full document

... and strong convergence theo- rems to approximate a fixed point of a single relatively nonexpansive mapping in a uniformly convex and uniformly smooth Banach space ...the strong ... See full document

... 5. Kangtunyakarn, A: A new mapping for finding a common element of the sets of fixed points of two finite families of nonexpansive and strictly pseudo-contractive mappings and two sets of variational ... See full document

... total quasi-j-asymptotically nonexpansive mapping which contains many kinds of mappings as its special cases and we prove a strong convergence theorem by using a hybrid ... See full document

... of mappings which are asymptotically nonexpansive in the intermediate sense was introduced by Bruck et ...convex Banach space E and T is a self-mapping of K which is ... See full document

... a strong convergence theorem of the proposed algorithm for asymptotically nonexpansive in the intermediate sense mappings in uniformly convex and smooth ... See full document

... a strong convergence theorem for a family of quasi-φ-nonexpansive ...The strong convergence theorem is proven in the more general reflexive, strictly convex, and ... See full document

... for asymptotically quasi-φ -nonexpansive mappings in the intermediate ...investigated. Strong convergence of the purposed algorithm is obtained in a reflexive, strictly ... See full document

... Banach spaces. Second, we consider a simple iteration and prove some strong convergence theorems of the proposed iteration for an asymptotically nonexpansive nonself-mapping with ... See full document

... totically quasi-nonexpansive mappings with error ...the strong convergence of iterative scheme to a fixed point of T (C need not to be a bounded set), requiring T to be uniformly ... See full document

... proved strong and weak convergence theorems for a pair of nonself asymptotically nonexpansive mappings in a uniformly convex Banach ...the strong convergence of the ... See full document

... be quasi-φ-nonexpansive if F(T ) = , and φ p, T (PT) n– x ≤ φ(p, x), ∀ x ∈ D, p ∈ F(T ), ∀ n ≥ ; ...be quasi-φ-asymptotically nonexpansive if F(T ) = , and there exists a real ... See full document

... main strong con- vergence theorems are established in a reflexive, strictly convex, and smooth Banach space such that both E and E* have Kadec-Klee ... See full document

... convex Banach space which also enjoys the Kadec-Klee property and C be a nonempty closed convex subset of ...generalized asymptotically quasi-φ -nonexpansive ... See full document

... totally quasi- φ -asymptotically nonexpansive multi-valued ...A strong convergence theorem for solving generalized mixed equilibrium problems is established in the framework of ... See full document

... in Banach spaces; see, for example, [–] and the references ...of asymptotically quasi-φ -nonexpansive mappings in the inter- mediate ... See full document

... must converge strongly to a point in F by Theorem .. This completes the proof. Theorem . Let K be a nonempty closed convex subset of a complete CAT() space X, and let S, T : K → K be two ... See full document

... the sense of Berinde ...a strong con- vergence theorem with the help of our process for the class of nonexpansive mappings in general Banach spaces and apply it to get a ... See full document