Results 21 to 30 of about 1,238,701 (263)

Strong Convergence for Hybrid S-Iteration Scheme

open access: yesJournal of Applied Mathematics, 2013
We establish a strong convergence for the hybrid S-iterative scheme associated with nonexpansive and Lipschitz strongly pseudocontractive mappings in real Banach spaces.
Shin Min Kang   +2 more
doaj   +1 more source

Strong Convergence of Mann’s Iteration Process in Banach Spaces

open access: yesMathematics, 2020
Mann’s iteration process for finding a fixed point of a nonexpansive mapping in a Banach space is considered. This process is known to converge weakly in some class of infinite-dimensional Banach spaces (e.g., uniformly convex Banach spaces with a ...
Hong-Kun Xu   +2 more
doaj   +1 more source

Strong convergence of modified Noor iterations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
In this paper, strong convergence theorem is obtained for the modified Noor iterations in the framework of uniformly smooth Banach spaces. Our results extend and improve the recent ones announced by Wittman, Kim, Xu, and some others.
Yongfu Su, Xiaolong Qin
doaj   +1 more source

On strong form of Arzela convergence

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
We define some new type of convergence of nets of functions which is formulated in terms of open covers. It preserves continuity and under some assumptions implies (or coincides with) the Arzela quasi-uniform convergence.
Janina Ewert
doaj   +1 more source

Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals

open access: yesFixed Point Theory and Applications, 2008
We prove a convergence theorem by the new iterative method introduced by Takahashi et al. (2007). Our result does not use Bochner integrals so it is different from that by Takahashi et al. We also correct the strong convergence theorem recently proved by
Satit Saejung
doaj   +2 more sources

Strong Convergence of a Projected Gradient Method

open access: yesJournal of Applied Mathematics, 2012
The projected-gradient method is a powerful tool for solving constrained convex optimization problems and has extensively been studied. In the present paper, a projected-gradient method is presented for solving the minimization problem, and the strong ...
Shunhou Fan, Yonghong Yao
doaj   +1 more source

An Efficient Iterative Procedure for Proximally Quasi-Nonexpansive Mappings and a Class of Boundary Value Problems

open access: yesAxioms, 2022
It is well-known in the literature that many analytical techniques are introduced in order to find a solution for problems such as functional, differential, and integral equations.
Kifayat Ullah   +4 more
doaj   +1 more source

Rainwater-Simons-type convergence theorems for generalized convergence methods [PDF]

open access: yes, 2010
We extend the well-known Rainwater-Simons convergence theorem to various generalized convergence methods such as strong matrix summability, statistical convergence and almost convergence.
Hardtke, Jan-David
core   +4 more sources

Infinite matrices and absolute almost convergence

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
In 1973, Stieglitz [5] introduced a notion of FB-Convergence which provided a wide generalization of the classical idea of almost convergence due to Lorentz [1].
Mursaleen
doaj   +1 more source

On Strong convergence of Halpern's method using averaged type mappings [PDF]

open access: yes, 2014
In this paper, inspired by Iemoto and Takahashi [S. Iemoto, W. Takahashi, Nonlinear Analysis 71, (2009), 2082-2089], we study the Halpern's method to approximate strongly fixed points of a nonexpansive mapping and of a nonspreading mapping.
Cianciaruso, Filomena   +3 more
core   +3 more sources

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