[PDF] Top 20 The viscosity iterative algorithms for the implicit midpoint rule of nonexpansive mappings in uniformly smooth Banach spaces
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The viscosity iterative algorithms for the implicit midpoint rule of nonexpansive mappings in uniformly smooth Banach spaces
... which is called a general system of variational inequalities, where A, B : C → H are two nonlinear mappings, λ > and μ > are two constants. Precisely, they introduced a re- laxed extragradient method for ... See full document
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Implicit and explicit iterative algorithms for hierarchical variational inequality in uniformly smooth Banach spaces
... some nonexpansive mapping defined on a Banach space is established in Yao et ...analyzed implicit and explicit iterative algorithms for solving GSVI () by using this equivalence, and ... See full document
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Ergodicity of the implicit midpoint rule for nonexpansive mappings
... converge weakly to a fixed point of T. This mean ergodic theorem was extended by Bruck [] to the setting of Banach spaces that are uniformly convex and have a Fréchet differen- tiable norm. Baillon ... See full document
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Multivariate systems of nonexpansive operator equations and iterative algorithms for solving them in uniformly convex and uniformly smooth Banach spaces with applications
... nonlinear mappings have been studied by some ...traction mappings, which further generalizes the Banach contraction mapping ...metric spaces for ... See full document
20
The viscosity technique for the implicit midpoint rule of nonexpansive mappings in Hilbert spaces
... The viscosity technique for nonexpansive mappings in Hilbert spaces was introduced by Moudafi [], following the ideas of Attouch ...Hilbert spaces and exten- sions to Banach ... See full document
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Iterative schemes with some control conditions for a family of finite nonexpansive mappings in Banach spaces
... In 1994, Reich [17] obtained a strong convergence of the iterative scheme (1.1) for N = 1 with two necessary and decreasing conditions on parameters for convergence in the case when E is uniformly ... See full document
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Strong and weak convergence theorems for an infinite family of nonexpansive mappings and applications
... be uniformly Frechet differentiable (and E is said to be uniformly smooth) if the limit in ...attained uniformly for (x, y) in U ×U. Every uniformly smooth Banach space E ... See full document
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Convergence theorems for generalized nonexpansive mappings in uniformly convex Banach spaces
... Fixed point theorems for a mapping satisfying condition (C) were studied by Dhom- pongsa et al. [] and Phuengrattana []. Khan and Suzuki [] proved a weak convergence theorem for a mapping satisfying condition (C) in ... See full document
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Convergence of a hybrid iterative method for finite families of generalized quasi-ϕ-asymptotically nonexpansive mappings
... It is well known that the metric projection is nonexpansive only in a Hilbert space. This fact actually characterizes Hilbert spaces. Alber [], introduced a generalized projection map C : E → C in a ... See full document
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The generalized viscosity implicit rules of nonexpansive mappings in Hilbert spaces
... The organization of this paper is as follows. In Section , we recall the notion of the metric projection, the demiclosedness principle of nonexpansive mappings and a conver- gence lemma. In Section , the ... See full document
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Convergence on Composite Iterative Schemes for Nonexpansive Mappings in Banach Spaces
... Let E be a reflexive Banach space with a uniformly Gˆateaux differentiable norm. Suppose that every weakly compact convex subset of E has the fixed point property for nonexpansive mappings. Let ... See full document
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A Picard-Mann hybrid iterative process
... new iterative process which can be seen as a hybrid of Picard and Mann iterative ...Ishikawa iterative processes in the sense of Berinde (Iterative Approximation of Fixed Points, 2002) for ... See full document
10
Fixed point approximation of asymptotically nonexpansive mappings in hyperbolic spaces
... Nonexpansive mappings are Lipschitzian with Lipschitz constant equal to ...of nonexpansive mappings enjoys the fixed point property and even the approximate fixed point property in the general ... See full document
15
General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces
... from nonexpansive mapping to nonexpansive semigroup, and from contraction mapping to φ- strongly pseudocontractive mapping and pseudocontractive mapping, ... See full document
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The convergence theorems of Ishikawa iterative process with errors for Φ-hemi-contractive mappings in uniformly smooth Banach spaces
... Keywords: generalized Lipschitz mapping; -hemi-contractive mapping; Ishikawa iterative sequence with errors; uniformly smooth real Banach space.. 1 Introduction and preliminary.[r] ... See full document
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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, ...for nonexpansive mappings in Hilbert ...arbitrary Banach ... See full document
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Convergence theorems for equilibrium problem and asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense
... Lemma . ([]) Let E be a reflexive, strictly convex and smooth Banach space such that both E and E ∗ have the Kadec-Klee property. Let C be a nonempty closed convex subset of E. Let T : C → C be a closed ... See full document
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Endpoints of multivalued nonexpansive mappings in geodesic spaces
... CAT() spaces, we refer the reader to standard texts such as [, ...pre-Hilbert spaces, R -trees, and Euclidean buildings are examples of CAT() spaces (see [, ... See full document
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Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces
... an implicit iterative process for a nonexpansive semigroup and then prove a weak convergence theorem for the non- expansive semigroup in a uniformly convex Banach space which satisfies ... See full document
12
Iterative algorithms for minimum-norm fixed point of non-expansive mapping in hilbert space
... or Banach spaces, there exist several iterative algorithms to nonexpansive mappings ...(e.g., Viscosity iteration algorithm [7], Hybrid projection algorithm [8], Hybrid ... See full document
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