Results 121 to 130 of about 953,111 (222)

On Convergence Results for Lipschitz Pseudocontractive Mappings

Journal of Applied Mathematics, 2012
We establish the strong convergence for the Ishikawa iteration scheme associated with Lipschitz pseudocontractive mappings in real Banach spaces. Moreover, our technique of proofs is of independent interest.
Shin Min Kang, Arif Rafiq
doaj   +1 more source

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 ...
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The convergence property of ishikawa iteration schemes in noncompact subsets of hilbert spaces and its applications to complementarity theory

, 2004
In this paper, we prove a theorem of convergence of Ishikawa iteration schemes in Hilbert spaces for nonexpansive and completely continuous mapping with at least one fixed point.
Isac, G., Jinlu Li,
core   +1 more source

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

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
openaire   +1 more source

Building Authentic Science Experiences: Students' Perceptions of Sequential Course-Based Undergraduate Research. [PDF]

CBE Life Sci Educ, 2023
Von der Mehden BM, Pennino EM, Fajardo HL, Ishikawa C, McDonald KK.   +4 more
europepmc   +1 more source

On the equivalence of Mann and Ishikawa iteration methods with errors

, 2006
We show that for several classes of mappings Mann and Ishikawa iteration procedures with errors in the sense of Xu [14] are equivalent. It is worth to mention here that, our results are the extensions or generalizations of some known recent results about
Rafiq, A., A. Rafiq
core  

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
core  

On rate of convergence of various iterative schemes

Fixed Point Theory and Applications, 2011
In this note, by taking an counter example, we prove that the iteration process due to Agarwal et al. (J. Nonlinear Convex. Anal. 8 (1), 61-79, 2007) is faster than the Mann and Ishikawa iteration processes for Zamfirescu operators.
Rafiq Arif, Lazović Rade, Damjanović Boško, Hussain Nawab   +3 more
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