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[PDF] Top 20 Strong convergence theorems for modifying Halpern-Mann iterations for a quasi-ϕ-asymptotically nonexpansive multi-valued mapping in Banach spaces

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Strong convergence theorems for modifying Halpern-Mann iterations for a quasi-ϕ-asymptotically nonexpansive multi-valued mapping in Banach spaces

Strong convergence theorems for modifying Halpern-Mann iterations for a quasi-ϕ-asymptotically nonexpansive multi-valued mapping in Banach spaces

... introduce modifying Halpern- Mann iterations sequence for finding a fixed point of a quasi-φ -nonexpansive mappings multi-valued mapping T : D → CB(D) and ... See full document

12

Strong convergence theorems for modifying Halpern iterations for a totally quasi ϕ asymptotically nonexpansive multi valued mapping in reflexive Banach spaces

Strong convergence theorems for modifying Halpern iterations for a totally quasi ϕ asymptotically nonexpansive multi valued mapping in reflexive Banach spaces

... totally quasi- φ -asymptotically nonexpansive multi-valued mapping for modifying Halpern’s iterations and establish some strong convergence ... See full document

11

Strong convergence theorems for total quasi-ϕ-asymptotically nonexpansive multi-valued mappings in Banach spaces

Strong convergence theorems for total quasi-ϕ-asymptotically nonexpansive multi-valued mappings in Banach spaces

... convex Banach space with Kadec-Klee property, and C be a nonempty closed and convex subset of ...total quasi- ϕ -asymptotically nonexpansive multi-valued mapping ... See full document

11

Strong convergence theorems of quasi-ϕ-asymptotically nonexpansive semi-groups in Banach spaces

Strong convergence theorems of quasi-ϕ-asymptotically nonexpansive semi-groups in Banach spaces

... of quasi-ϕ-asymptotically nonexpansive semi-groups and to modify the Halpern and Mann-type iteration algo- rithm [14,15] for quasi-ϕ-asymptotically ... See full document

9

Strong convergence of hybrid Halpern iteration for Bregman totally quasi-asymptotically nonexpansive multi-valued mappings in reflexive Banach spaces with application

Strong convergence of hybrid Halpern iteration for Bregman totally quasi-asymptotically nonexpansive multi-valued mappings in reflexive Banach spaces with application

... firmly nonexpansive single value mappings was studied in ...firmly nonexpansive mapping is Bregman strongly nonexpansive with respect to F(T ) = F(T ˆ ...tally quasi-asymptotically ... See full document

16

Strong convergence theorem for quasi ϕ asymptotically nonexpansive mappings in the intermediate sense in Banach spaces

Strong convergence theorem for quasi ϕ asymptotically nonexpansive mappings in the intermediate sense in Banach spaces

... modify Halpern and Mann’s iterations for finding a fixed point of an infinite family of quasi- φ -asymptotically nonexpansive mappings in the intermediate sense in Banach ...a ... See full document

13

Strong convergence theorems for fixed points of asymptotically nonexpansive semigroups in Banach spaces

Strong convergence theorems for fixed points of asymptotically nonexpansive semigroups in Banach spaces

... The multi-valued mapping J from E into E ∗ is said to be the (normalized) duality ...A Banach space E is said to be uniformly convex, if for any ∈ (, ], there exists a δ >  such that, ... See full document

15

Strong convergence theorems of nonlinear operator equations for countable family of multi-valued total quasi-ϕ-asymptotically nonexpansive mappings with applications

Strong convergence theorems of nonlinear operator equations for countable family of multi-valued total quasi-ϕ-asymptotically nonexpansive mappings with applications

... total quasi- j - asymptotically nonexpansive multi-valued mapping which contains many kinds of mappings as its special cases, and then by using the hybrid shrinking technique to ... See full document

17

Total quasi-ϕ-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces

Total quasi-ϕ-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces

... total quasi-φ -asymptotically nonexpansive semigroups; to modify the Halpern and Mann-type iteration algorithm [, ] for total quasi-φ-asymptotically ... See full document

14

Strong convergence theorems of the Halpern Mann’s mixed iteration for a totally quasi ϕ asymptotically nonexpansive nonself multi valued mapping in Banach spaces

Strong convergence theorems of the Halpern Mann’s mixed iteration for a totally quasi ϕ asymptotically nonexpansive nonself multi valued mapping in Banach spaces

... a quasi-φ -nonexpansive nonself multi- valued mapping is a quasi-φ-asymptotically nonexpansive nonself multi-valued mapping, and a ... See full document

11

Strong convergence theorems by Halpern Mann iterations for multi valued relatively nonexpansive mappings in Banach spaces with applications

Strong convergence theorems by Halpern Mann iterations for multi valued relatively nonexpansive mappings in Banach spaces with applications

... Let E be a smooth, strictly convex, and reflexive Banach space. An operator A : E ® 2 E* is said to be monotone, if 〈x - y, x* - y*〉 ≥ 0 whenever x, y Î E, x* Î Ax, y* Î Ay. We denote the zero point set {x Î E : 0 ... See full document

10

Strong convergence theorems for two total asymptotically nonexpansive nonself mappings in Banach spaces

Strong convergence theorems for two total asymptotically nonexpansive nonself mappings in Banach spaces

... total asymptotically nonexpansive mappings as the generalization of asymptotically nonexpansive ...the nonexpansive retraction of E onto ...ically nonexpansive if there exist ... See full document

18

Strong convergence theorems for fixed points of nonlinear mappings

Strong convergence theorems for fixed points of nonlinear mappings

... As we all know that if C is a nonempty closed convex subset of a Hilbert space H and P C : H → C is the metric projection of H onto C, then P C is nonexpansive. This fact actually characterizes Hilbert ... See full document

8

Strong convergence theorems for equilibrium problems and asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense

Strong convergence theorems for equilibrium problems and asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense

... smooth Banach space such that E has the Kadec-Klee ...η-α-monotone mapping, let j be a bifunction from C × C to R satisfying (C)-(C) for every j ∈ , ... See full document

23

Strong convergence and control condition of modified
Halpern iterations in Banach spaces

Strong convergence and control condition of modified Halpern iterations in Banach spaces

... smooth Banach space has a uniformly Gˆateaux differentiable norm and is such that every nonempty closed convex and bounded subset of X has the fixed point property for nonexpansive ...extend Theorems ... See full document

10

Strong Convergence Theorem for Two Commutative Asymptotically Nonexpansive Mappings in Hilbert Space

Strong Convergence Theorem for Two Commutative Asymptotically Nonexpansive Mappings in Hilbert Space

... for nonexpansive and asymptotically nonexpansive mappings have been studied extensively by many authors to solve nonlinear operator equations as well as variational inequalities ...many strong ... See full document

9

Strong convergence of approximated iterations for asymptoticallypseudocontractive mappings

Strong convergence of approximated iterations for asymptoticallypseudocontractive mappings

... of asymptotically nonexpansive mappings was introduced by Goebel and Kirk [] in ...convex Banach space E, then every asymptotically nonexpansive self-mapping T of C has a fixed ... See full document

13

Strong convergence theorems for nonlinear operator equations with total quasi-ϕ-asymptotically nonexpansive mappings and applications

Strong convergence theorems for nonlinear operator equations with total quasi-ϕ-asymptotically nonexpansive mappings and applications

... total quasi-j-asymptotically nonexpansive mappings and null spaces of finite family of g-inverse strongly monotone mappings in a 2-uniformly convex and uniformly smooth real Banach ... See full document

16

Implicit iteration process of nonexpansive non self mappings

Implicit iteration process of nonexpansive non self mappings

... and Halpern [3] and in a uni- formly smooth Banach space by Reich ...and Halpern to nonexpansive non-self-mapping T satisfying Rothe’s boundary condition T(∂C) ⊂ C (here ∂C denotes the ... See full document

8

Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces

Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces

... pansive mapping due to Xu and Ori [26] to the case of asymptotically quasi-nonexpansive ...of asymptotically quasi-nonexpansive mappings on unbounded sets in a uniformly ... See full document

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