[PDF] Top 20 The generalized viscosity implicit rules of nonexpansive mappings in Hilbert spaces
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The generalized viscosity implicit rules of nonexpansive mappings in Hilbert spaces
... δ-inverse-strongly monotone and < λ < δ. We therefore have the following results. Theorem . Let C be a nonempty closed convex subset of the real Hilbert space H. For the minimization problem (.), ... See full document
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The viscosity technique for the implicit midpoint rule of nonexpansive mappings in Hilbert spaces
... The viscosity technique for the implicit midpoint rule of nonexpansive mappings in Hilbert spaces is established. The strong convergence of this technique is proved under certain ... See full document
12
Convergence of algorithms for an infinite family nonexpansive mappings and relaxed cocoercive mappings in Hilbert spaces
... Let H be a real Hilbert space, whose inner product and norm are denoted by h·, ·i and k · k, respectively. Let C be a closed convex subset of H and let A : C → H be a nonlinear map. Let P C be the projection of H ... See full document
15
A New Iteration Method for Nonexpansive Mappings and Monotone Mappings in Hilbert Spaces
... In 2005, Iiduka and Takahashi 10 introduced an iterative scheme for finding a common point of the set of fixed points of a nonexapnsive mapping and the set of solutions of the variational inequality for an inverse-strong ... See full document
16
Strong Convergence of a Generalized Iterative Method for Semigroups of Nonexpansive Mappings in Hilbert Spaces
... 5 I. Yamada, “The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility ... See full document
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An Iteration Method for Nonexpansive Mappings in Hilbert Spaces
... Let H be a Hilbert space with inner product · , · and norm · . A mapping T : H → H is said to be nonexpansive if Tx − T y ≤ x − y for any x, y ∈ H. A mapping F : H → H is said to be η-strongly monotone if ... See full document
8
Strong convergent result for quasi-nonexpansive mappings in Hilbert spaces
... real Hilbert space, let F be a -Lipschitzian and h-strongly monotone operator on H with k > 0, h > 0, and let T be a quasi-nonexpansive mapping on H, and f is a L-Lipschitzian mapping with coefficient ... See full document
8
General alternative regularization methods for nonexpansive mappings in Hilbert spaces
... real Hilbert space H with the inner product ·, · and the norm · ...a nonexpansive mapping with a nonempty set of fixed points Fix(T) and let h : C → C be a Lipschitzian strong ...usual viscosity ... See full document
14
General modified viscosity implicit rules for generalized asymptotically nonexpansive mappings in complete \(\operatorname{CAT}(0)\) spaces
... asymptotically nonexpansive map- ping, which is closely related to the theory of fixed points in Banach ...of generalized asymptotically nonexpansive ...asymptotically nonexpansive mapping, and ... See full document
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General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces
... for nonexpansive mappings, nonexpansive semigroup, and pseudocontractive semigroup in Banach spaces see, ...a nonexpansive mapping, and A be a strongly positive and linear bounded ... See full document
12
The viscosity iterative algorithms for the implicit midpoint rule of nonexpansive mappings in uniformly smooth Banach spaces
... a viscosity iterative algorithm for the implicit midpoint rule of nonexpansive mappings in uniformly smooth ...pseudocontractive mappings, variational inequality problems in Banach ... See full document
12
A modified viscosity implicit type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces
... The Hilbert ball with the hyperbolic metric is an important example of a CAT(0) space ...CAT(0) spaces include pre-Hilbert spaces, R-trees, Euclidean buildings ... See full document
14
Viscosity approximation methods for nonexpansive mappings in CAT(0) spaces
... pre-Hilbert spaces, R-trees (see []), Euclidean buildings (see []), the complex Hilbert ball with a hyperbolic metric (see []), and many ...CAT() spaces are often called Hadamard ... See full document
15
Viscosity approximation methods for multivalued nonexpansive mappings in geodesic spaces
... CAT() spaces, we refer the reader to standard texts, such as [, ...Pre-Hilbert spaces, R-trees, Euclidean buildings are examples of CAT() spaces (see [, ... See full document
14
Strong and weak convergence theorems for split equality generalized mixed equilibrium problem
... equality generalized mixed equilibrium problem, which is more general than many problems such as split feasibility problem, split equality problem, split equilibrium problem, and so ...equality generalized ... See full document
19
Modified semi-implicit midpoint rule for nonexpansive mappings
... in Hilbert spaces and extensions to Banach spaces were obtained by Xu ...a nonexpansive mapping for the purpose of selecting a particular fixed point of the nonexpansive mapping, for ... See full document
15
Generalized viscosity approximation methods for nonexpansive mappings
... more generalized iterative method like viscosity ...contractive mappings and obtain strong convergence theorem for approximating fixed point of a non- expansive ...family nonexpansive ... See full document
11
Iterative algorithms for minimum-norm fixed point of non-expansive mapping in hilbert space
... of nonexpansive mappings. We provide two algorithms, one implicit and another explicit, from which strong convergence theorems are obtained in Hilbert ... See full document
10
Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
... asymptotically nonexpansive mappings have been obtained by Kirk and Ray [11] on unbounded sets in a Banach ...of mappings, containing nonexpansive mappings as a subclass, on closed ... See full document
14
Generalized viscosity approximation method for nonexpansive mappings in Hadamard manifolds
... for nonexpansive mapping was introduced by Moudafi [22] in ...both implicit and explicit schemes in a Hilbert ...Banach spaces and proved the strong convergence of iterative ...for ... See full document
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