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[PDF] Top 20 Convergence theorems of a new iteration for two nonexpansive mappings

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Convergence theorems of a new iteration for two nonexpansive mappings

Convergence theorems of a new iteration for two nonexpansive mappings

... a nonexpansive mapping T by Mann ...a nonexpansive mapping T by Ishikawa iteration under the same condition (A) which is weaker than the requirement that T is ...for two mappings S, T : ... See full document

8

Convergence theorems of a new iteration for asymptotically nonexpansive mappings in Banach spaces

Convergence theorems of a new iteration for asymptotically nonexpansive mappings in Banach spaces

... Fixed-point theory as an important branch of nonlinear analysis has been applied in the study of nonlinear phenomena. The theory itself is a beautiful mixture of analysis, topol- ogy, and geometry. Recently, iterative ... See full document

14

An inertial S-iteration process

An inertial S-iteration process

... a new iteration method, called an InerSP (an inertial S-iteration process), by combining a modified S-iteration process with the inertial ...the convergence of the algorithm. We then ... See full document

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Weak and Strong Convergence Theorems of an Implicit Iteration Process for a Countable Family of Nonexpansive Mappings

Weak and Strong Convergence Theorems of an Implicit Iteration Process for a Countable Family of Nonexpansive Mappings

... strong convergence theorems for finding common fixed points of a countable family of nonexpansive mappings in a real Hilbert ...many convergence theorems by 2, Theorems 2 ... See full document

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Another type of Mann iterative scheme for two mappings in a complete geodesic space

Another type of Mann iterative scheme for two mappings in a complete geodesic space

... an iteration procedure for ap- proximating fixed points of a nonexpansive mapping T in a Hilbert ...this iteration procedure in a uniformly convex Banach space whose norm is Fréchet ...an ... See full document

9

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

... asymptotically nonexpansive mappings as the generalization of asymptotically nonexpansive ...the nonexpansive retraction of E onto ...ically nonexpansive if there exist sequences { μ n ... See full document

18

Strong convergence theorems for equilibrium problems involving a family of nonexpansive mappings

Strong convergence theorems for equilibrium problems involving a family of nonexpansive mappings

... give new hybrid variants of extragradient methods for finding a common solution of an equilibrium problem and a family of nonexpansive ...successive iteration method as a hybrid ...better ... See full document

11

On Weak and Strong Convergence Theorems of Modified SP-Iteration Scheme for Total Asymptotically Nonexpansive Mappings

On Weak and Strong Convergence Theorems of Modified SP-Iteration Scheme for Total Asymptotically Nonexpansive Mappings

... asymptotically nonexpansive mappings and also establish some weak and strong convergence theorems for mentioned mappings and scheme to converge to common fixed points in the framework ... See full document

16

Hybrid iteration method for common fixed points of an infinite family of nonexpansive mappings in Banach spaces

Hybrid iteration method for common fixed points of an infinite family of nonexpansive mappings in Banach spaces

... of nonexpansive mappings have been studied by various authors (see, ...hybrid iteration method for nonexpansive mappings in Hilbert space; and then Osilike et ...weak convergence ... See full document

7

Convergence to Common Fixed Point for Nearly Asymptotically Nonexpansive Mappings in Banach Spaces

Convergence to Common Fixed Point for Nearly Asymptotically Nonexpansive Mappings in Banach Spaces

... then iteration scheme (1.2) reduces to S-iteration scheme ...strong convergence theorems and a weak convergence theorem of modified S-iteration scheme ...for two nearly ... See full document

8

A new iterative scheme for numerical reckoning fixed points of total asymptotically nonexpansive mappings

A new iterative scheme for numerical reckoning fixed points of total asymptotically nonexpansive mappings

... the iteration process ...strong convergence theorems for total asymptotically nonexpansive mappings on CAT() ...the convergence of the modified Picard-Mann hybrid ... See full document

13

New viscosity method for hierarchical fixed point approach to variational inequalities

New viscosity method for hierarchical fixed point approach to variational inequalities

... A new viscosity method for hierarchically approximating some common fixed point of an infinite family of nonexpansive mappings is presented; and some strong convergence theorems for ... See full document

10

Convergence Theorems for Common Fixed Points of Nonself Asymptotically Quasi-Non-Expansive Mappings

Convergence Theorems for Common Fixed Points of Nonself Asymptotically Quasi-Non-Expansive Mappings

... asymptotically nonexpansive mapping must be uniformly L-Lipschitzian as well as asymptotically quasi-non-expansive, but the converse does not ...asymptotically nonexpansive self-mapping in Hilbert spaces ... See full document

11

Strong convergence theorems for asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups

Strong convergence theorems for asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups

... Mann iteration method (1.3) so that strong convergence is guaranteed have recently been ...Mann iteration (1.3) for a single nonexpansive mapping T in a Hilbert ... See full document

11

Halpern’s iteration for Bregman strongly nonexpansive multi-valued mappings in reflexive Banach spaces with application

Halpern’s iteration for Bregman strongly nonexpansive multi-valued mappings in reflexive Banach spaces with application

... strongly nonexpansive multi-valued mappings in reflexive Ba- nach spaces are ...strong convergence theorems for the proposed modified Halpern’s iterations are ... See full document

12

On the strong and Δ convergence of new multi step and S iteration processes in a CAT(0) space

On the strong and Δ convergence of new multi step and S iteration processes in a CAT(0) space

... a new class of mappings and the -convergence theorems of the new multi-step itera- tion and the S-iteration processes for mappings of this type in a CAT() ...strong ... See full document

13

On the strong convergence of a modified S-iteration process for asymptotically quasi-nonexpansive mappings in a CAT(0) space

On the strong convergence of a modified S-iteration process for asymptotically quasi-nonexpansive mappings in a CAT(0) space

... every two points of X are joined by a geodesic, and X is said to be uniquely geodesic if there is exactly one geodesic joining x to y for each x, y ∈ ...any two of its ... See full document

10

Convergence theorems of a hybrid iteration method for fixed points of asymptotically nonexpansive mappings

Convergence theorems of a hybrid iteration method for fixed points of asymptotically nonexpansive mappings

... of nonexpansive mappings and asymptot- ically nonexpansive mappings have been studied by various authors; see, ...hybrid iteration method for nonexpansive mappings in ... See full document

10

Strong and △-Convergence of Modified Two-Step Iterations for Nearly Asymptotically Nonexpansive Mappings in Hyperbolic Spaces

Strong and △-Convergence of Modified Two-Step Iterations for Nearly Asymptotically Nonexpansive Mappings in Hyperbolic Spaces

... strong convergence theorems of modified two-step iteration process for two nearly asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces which include ... See full document

14

Mixed type iteration for total asymptotically nonexpansive mappings in hyperbolic spaces

Mixed type iteration for total asymptotically nonexpansive mappings in hyperbolic spaces

... asymptotically nonexpansive mappings and to prove some -convergence theorems of the mixed type iteration process to approximating a common fixed point for two asymptotically ... See full document

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