Results 101 to 110 of about 1,168,012 (202)

Strong Convergence of Mann Iteration for a Hybrid Pair of Mappings in a Banach Space

, 2013
We prove the strong convergence of Mann iteration for a hybrid pair of maps to a common fixed point of a selfmap f and a multi-valued f-nonexpansive mapping T in Banach space E. Our result extend Theorem 2.3 of Song and Wang [Y. Song, H. Wang, Convergence
G. N. Alemayehu, G. V. R. Babu
core  

Comparison of fastness of the convergence among Krasnoselskij, Mann, and Ishikawa iterations in arbitrary real Banach spaces

Fixed Point Theory and Applications, 2006
Let be an arbitrary real Banach space and a nonempty, closed, convex (not necessarily bounded) subset of . If is a member of the class of Lipschitz, strongly pseudocontractive maps with Lipschitz constant , then it is shown that to each Mann ...
Vara Prasad KNVV, Babu GVR
doaj  

Quantitative metastability of the Tikhonov-Mann iteration for countable families of mappings

In this paper, we obtain rates of metastability for the Tikhonov-Mann iteration for countable families of mappings in CAT(0) spaces. This iteration was recently defined by the author in the setting of W-hyperbolic spaces as a generalization of the ...
Cheval, Horatiu
core  

Some Modified Mann-Type Inertial Forward–Backward Iterative Methods for Monotone Inclusion Problems

Mathematics
In this paper, we propose three variants of Mann-type inertial forward–backward iterative methods for approximating the minimum-norm solution of the monotone inclusion problem and the fixed points of nonexpansive mappings.
Mohammad Dilshad, Ibrahim Al-Dayel, Esmail Alshaban, Md. Nasiruzzaman   +3 more
doaj   +1 more source

Effective Uniform Bounds on the Krasnoselski-Mann Iteration

, 2000
This paper is a case study in proof mining applied to non-effective proofsin nonlinear functional analysis. More specifically, we are concerned with thefixed point theory of nonexpansive selfmappings f of convex sets C in normed spaces.
Kohlenbach, Ulrich
core  

On the Mann iterative process [PDF]

Transactions of the American Mathematical Society, 1970
openaire   +2 more sources

The necessary and sufficient condition for the convergence of Ishikawa iteration on an arbitrary interval

, 2006
As an important iteration, the Mann and Ishikawa iteration has extensive application in fixed point theory. In 1991, David Borwein and Jonathan Borwein proved the convergence of the Mann iteration on a closed bounded interval in their paper.
Qihou, Liu, Qing, Yuan
core   +1 more source

Weak Convergence of Mann Iteration for a Hybrid Pair of Mappings in a Banach Space

, 2014
We prove the weak convergence of Mann iteration for a hybrid pair of maps to a common fixed point of a selfmap f and a multivalued f nonexpansive mapping T in Banach space ...
Alemayehu Geremew
core  

Mean Value-Mann Iterative Process

In this paper, the Mean value iterative process is modified with the Mann iterative process for mean nonexpansive mapping in a hyperbolic metric space that satisfy the symmetry criteria and in uniformly convex hyperbolic spaces to validate the iterative process, we present strong and $Delta$-convergence theorems.
Tariq, Mohd, Sharma, Mayank
openaire   +2 more sources

The equivalence between the Krasnoselskij, Mann and Ishikawa iterations

Journal of Numerical Analysis and Approximation Theory, 2006
We shall prove that Krasnoselskij iteration converges if and only if Mann-Ishikawa iteration converges, for certain classes of strongly pseudocontractive mappings.
B. E. Rhoades, Ştefan M. Şoltuz
doaj