Results 101 to 110 of about 269,682 (199)

On the Ishikawa iteration process in Hilbert spaces

Collectanea Mathematica, 1994
The authors proved that the Ishikawa iteration process converges always to a fixed point of some contractive mappings. The results generalize corresponding theorems of Singh and Qihou.
Rashwan, R. A., Saddeek, A. M.
openaire   +2 more sources

ITERATIVE SCHEME GENERATING METHOD BEYOND ISHIKAWA ITERATIVE METHOD

ITERATIVE SCHEME GENERATING METHOD BEYOND ISHIKAWA ITERATIVE METHOD
We propose an iterative scheme generating method to address common fixed point problems. Our approach yields diverse iterative schemes for finding common fixed points. The derivative results include the Ishikawa iterative method and its variations. An application to the variational inequality problem is provided to illustrate the usefulness of our ...
openaire   +3 more sources

Generalized Ishikawa Iterative Algorithm with Errors and Variable Generalized Ishikawa Iterative Algorithm for Nonexpansive Mappings in Symmetric Banach Spaces

Symmetry
We present a generalized Ishikawa iterative algorithm with an error term and a variable generalized Ishikawa iterative algorithm. Leveraging the geometric symmetry inherent in uniformly convex Banach spaces, we establish their respective weak convergence theorems for nonexpansive mappings.
Liangjuan Yu, Yuhan Zhu, Wenying Zhao
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An equivalence between the convergences of Ishikawa, Mann and Picard iterations [PDF]

, 2003
We will show that the convergence of Picard iteration is equivalent to the convergence of Mann and Ishikawa iterations, when the operator is a contraction and aymptotic ...
Şolutuz, Ş. M.
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Mann and Ishikawa Iteration Schemes for Multivalued Mappings in CAT(0) Spaces

, 2010
In this paper, we prove strong convergence theorems for the Mann and Ishikawa iteration schemes involving quasi-nonexpansive multivalued mappings in the framework of CAT(0) spaces.
Tippawan Puttasontiphot
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COMMON FIXED POINTS BY ISHIKAWA ITERATES IN METRIC LINEAR SPACES

Demonstratio Mathematica, 1998
Summary: We obtain a common fixed point theorem for the lshikawa iterates of two self-mappings on a metric linear space under various contractive conditions.
openaire   +4 more sources

Convergence Rate of Implicit Iteration Process and a Data Dependence Result

, 2018
The aim of this paper is to introduce an implicit S-iteration processand study its convergence in the framework of W-hyperbolic spaces. We showthat the implicit S-iteration process has higher rate of convergence than implicit Mann type iteration and ...
Mujahid Abbas, Isa Yildirim
core   +1 more source

Strong convergence of the Ishikawa iteration for Lipschitz α-hemicontractive mappings

, 2015
A new class of α-hemicontractive maps T for which the strong convergence of the Ishikawa iteration algorithm to a fixed point of T is assured is introduced and studied.
Osilike Micah Okwuchukwu, Onah Anthony Chibuike   +1 more
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Data Dependence for Ishikawa Iteration When Dealing with Contractive-Like Operators

, 2008
We prove a convergence result and a data dependence for Ishikawa iteration when applied to contraction-like operators. An example is given, in which instead of computing the fixed point of an operator, we approximate the operator with a contractive-like ...
Grosan Teodor, Şoltuz ŞM
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© Hindawi Publishing Corp. ON THE EQUIVALENCE OF MANN AND ISHIKAWA ITERATION METHODS

, 2001
We show that certain Mann and Ishikawa iteration schemes are equivalent for various classes of functions. 2000 Mathematics Subject Classification: 47H10.
B. E. Rhoades, Stefan M. Soltuz
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