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Results 1 - 10
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13,517
STRONG CONVERGENCE THEOREMS FOR FIXED POINTS OF NONLINEAR MAPPINGS
"... Copyright c © 2014 Z.J. Zhu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. In this article, we investigate an iteration f ..."
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for nonexpansive-type mappings. Strong convergence theorems are established in the framework of Banach spaces.
Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
- Fixed Point Theory and Applications
, 2005
"... In 1979, Ishikawa proved a strong convergence theorem for finite families of nonexpan-sive mappings in general Banach spaces. Motivated by Ishikawa’s result, we prove strong convergence theorems for infinite families of nonexpansive mappings. 1. ..."
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Cited by 23 (2 self)
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In 1979, Ishikawa proved a strong convergence theorem for finite families of nonexpan-sive mappings in general Banach spaces. Motivated by Ishikawa’s result, we prove strong convergence theorems for infinite families of nonexpansive mappings. 1.
Strong Convergence Theorems for Two Relatively Asymptotically Nonexpansive Mappings in Banach Spaces
, 2011
"... Abstract In this paper, we prove a strong convergence theorem of modified Ishikawa iteration processes by the new hybrid iterative method introduced by ..."
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Abstract In this paper, we prove a strong convergence theorem of modified Ishikawa iteration processes by the new hybrid iterative method introduced by
Strong convergence theorems for nonexpansive mappings by Viscosity approximation methods in Banach spaces
- Mathematical J. of Okayama University
"... Abstract In this paper, we introduce a modified Ishikawa iterative process for a pair of nonexpansive mappings and obtain a strong convergence theorem in the framework of uniformly Banach spaces. ..."
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Cited by 3 (1 self)
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Abstract In this paper, we introduce a modified Ishikawa iterative process for a pair of nonexpansive mappings and obtain a strong convergence theorem in the framework of uniformly Banach spaces.
STRONG CONVERGENCE THEOREMS ON ITERATIVE METHODS FOR STRICTLY PSEUDO-CONTRACTIVE MAPPINGS
"... The aim of this work is to consider an iterative method for a family of λ-strict pseudo-contractions. Strong convergence theorems are established in a real 2-uniformly smooth Banach space ..."
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The aim of this work is to consider an iterative method for a family of λ-strict pseudo-contractions. Strong convergence theorems are established in a real 2-uniformly smooth Banach space
Weak and Strong Convergence Theorems of New Iterations with Errors for Nonexpansive Nonself-Mappings
, 2006
"... ABSTRACT: In this paper, a new three-step iterative scheme for nonexpansive nonself- mappings in Banach spaces is defined, and weak and strong convergence theorems are established for the new iterative scheme in a uniformly convex Banach space. ..."
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ABSTRACT: In this paper, a new three-step iterative scheme for nonexpansive nonself- mappings in Banach spaces is defined, and weak and strong convergence theorems are established for the new iterative scheme in a uniformly convex Banach space.
WEAK AND STRONG CONVERGENCE THEOREMS FOR RELATIVELY NONEXPANSIVE MAPPINGS IN BANACH SPACES
, 2003
"... We first introduce an iterative sequence for finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of generalized projection. We apply these results to the convex feasibility problem and a proximal-type algo ..."
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Cited by 22 (4 self)
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We first introduce an iterative sequence for finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of generalized projection. We apply these results to the convex feasibility problem and a proximal
ATTRACTIVE POINTS AND HALPERN’S TYPE STRONG CONVERGENCE THEOREMS IN HILBERT SPACES
"... Abstract. In this paper, using the concept of attractive points of a nonlinear mapping, we obtain a strong convergence theorem of Halpern’s type [6] for a wide class of nonlinear mappings which contains nonexpansive mappings, non-spreading mappings and hybrid mappings in a Hilbert space. Using this ..."
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Abstract. In this paper, using the concept of attractive points of a nonlinear mapping, we obtain a strong convergence theorem of Halpern’s type [6] for a wide class of nonlinear mappings which contains nonexpansive mappings, non-spreading mappings and hybrid mappings in a Hilbert space. Using
Strong convergence theorems for pseudocontractive mappings in Banach space
- Houston J. Math
, 1990
"... Abstract. Let X be a real Banach space, D an open and bounded subset X and T: cl(D)-- • X a pseudo-contractive mapping (i.e. (A- 1)]]u- vl] _• II(AI- T)(u)- (AI- T)(v)l I for all u, veD and A> 1). Suppose the space X and its dual are both uniformy convex, then we may show that if T is uniformly c ..."
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Cited by 1 (0 self)
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continuous and pseudo-contractive on D satisfying the following condition: there exists zeD such that]]z- Tzll < IIx- Txll for all x on the boundary of D, the trajectory t- • z•eD, re[O, 1) defined by the equation zt---- tT(z,) + (1- t)z is continuous and strongly converges to a fixed point oft as t-- • 1
Results 1 - 10
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