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[PDF] Top 20 Strong convergence theorems for nonlinear operator equations with total quasi-ϕ-asymptotically nonexpansive mappings and applications

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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

... linear operator and f is a nonlinear Nemytskii operator, plays a crucial role in the theory of optimal control systems (see, example, ...uniqueness theorems have been proved for equation ... See full document

16

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

... of 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

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

... The aim of this paper is to present an iterative method for solving solutions of a fam- ily of mixed equilibrium problems with a relaxed η-α-monotone mapping and a nonlin- ear operator equation involving an ... See full document

23

A strong convergence theorem for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings

A strong convergence theorem for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings

... of nonlinear analysis and optimization. Applications of iterative algorithms are found in a wide range of areas, including economics, image recovery, optimiza- tion, signal processing and a lot of real ... See full document

16

Strong convergence theorems for fixed points of generalized asymptotically quasi-φ-nonexpansive mappings

Strong convergence theorems for fixed points of generalized asymptotically quasi-φ-nonexpansive mappings

... of nonlinear operators as an important research branch of nonlinear analysis and optimization has been applied in the study of nonlinear ...existence theorems of fixed points were ...world ... See full document

22

Strong convergence theorems for a countable family of totally quasi ϕ asymptotically nonexpansive nonself mappings in Banach spaces with applications

Strong convergence theorems for a countable family of totally quasi ϕ asymptotically nonexpansive nonself mappings in Banach spaces with applications

... 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

11

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 ... See full document

9

Convergence of algorithms for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings with applications

Convergence of algorithms for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings with applications

... of nonlinear analysis theory has been applied in the study of nonlinear ...existence theorems of fixed points were established; see, for example, ...world applications it is not only to know ... See full document

20

Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-ϕ-nonexpansive mappings

Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-ϕ-nonexpansive mappings

... P: Strong convergence theorems by a new hybrid projection algorithm for fixed point problems and equilibrium problems of two relatively quasi-nonexpansive ...mappings. ... See full document

15

Strong convergence theorem for total quasi-ϕ-asymptotically nonexpansive mappings in a Banach space

Strong convergence theorem for total quasi-ϕ-asymptotically nonexpansive mappings in a Banach space

... prove strong convergence theorems to a point which is a fixed point of multi-valued mappings, a zero of an α -inverse-strongly monotone operator and a solution of the equilibrium ... See full document

19

Strong convergence for total quasi-ϕ-asymptotically nonexpansive semigroups in Banach spaces

Strong convergence for total quasi-ϕ-asymptotically nonexpansive semigroups in Banach spaces

... total asymptotically quasi-nonexpansive mappings in Banach ...finite total asymptotically nonexpansive ...approximation theorems of common fixed points for a ... See full document

9

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

... of nonexpansive mappings (asymptot- ically nonexpansive mappings) and of common fixed points of nonexpansive semi-groups (asymptotically nonexpansive semigroups) is an ... See full document

14

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

... convergence theorem in a real uniformly smooth and strictly convex Banach space with Kadec-Klee property. In order to get the theorems, the hybrid algorithms are presented and are used to approximate the ... 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 nonexpansive mappings (asympto- tically nonexpansive mappings), and of common fixed points of nonexpansive semi- groups (asymptotically nonexpansive semi-groups) is an ... See full document

9

On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings

On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings

... generalized asymptotically quasi-nonexpansive mappings. Strong convergence of the purposed iterative process is obtained in the framework of real Banach ... See full document

19

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

... of quasi- φ -asymptotically nonexpansive mappings in the intermediate sense in Banach ...a strong convergence theorem of the iterative sequence generated by the proposed ... See full document

13

Strong and $\Delta$-convergence theorems for total asymptotically nonexpansive mappings in CAT(0)

Strong and $\Delta$-convergence theorems for total asymptotically nonexpansive mappings in CAT(0)

... Now, we prove the following lemma using modified Noor iteration scheme (1.1) needed in the sequel. Lemma 3.1. Let K be a nonempty closed convex subset of a complete CAT(0) space X and let T : K → K be a total ... See full document

16

Proximal point algorithms for zero points of nonlinear operators

Proximal point algorithms for zero points of nonlinear operators

... zero theorems of accretive ...RE: Nonexpansive projections on subsets of Banach ...V: Nonlinear Semigroups and Differential Equations in Banach ... See full document

11

An algorithm for treating asymptotically strict pseudocontractions and monotone operators

An algorithm for treating asymptotically strict pseudocontractions and monotone operators

... Corollary . Let C be a nonempty closed convex subset of H. Let T : C → C be an asymp- totically nonexpansive mapping. Let A : C → H be an α-inverse-strongly monotone map- ping, and let B be a maximal monotone ... See full document

14

Hybrid projection methods for a bifunction and relatively asymptotically nonexpansive mappings

Hybrid projection methods for a bifunction and relatively asymptotically nonexpansive mappings

... Notice that J is weakly sequentially continuous. Letting k → ∞ , we find that z – p, Jp – Jz ≥ . It follows from the monotonicity of J that z – p, Jp – Jz ≤ . Since the space is uniformly convex, we find that z = p. This ... See full document

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