Results 21 to 30 of about 944,809 (221)

Some Convergence Theorems for the Fixed Point in Banach Spaces [PDF]

مجلة جامعة الانبار للعلوم الصرفة, 2014
Let X be a uniformly smooth Banach space, T:X  X be -strongly quasi accretive (-hemi contractive) mappings. It is shown under suitable conditions that the Ishikawa iteration sequence converges strongly to the unique solution of the equation Tx = f ...
Zena Hussein Mabeed
doaj   +1 more source

Ishikawa's iterations of real Lipschitz functions [PDF]

Bulletin of the Australian Mathematical Society, 1992
In this paper, we consider Ishikawa's iteration scheme to compute fixed points of real Lipschitz functions. Two general convergence theorems are obtained. Our results generalise the result of Hillam.
Deng, Lei, Ding, Xie Ping
openaire   +2 more sources

SOME NOTES ON ISHIKAWA ITERATION FOR MULTI-VALUED MAPPINGS

Bulletin of the Korean Mathematical Society, 2011
Yisheng Song, Y. Cho
semanticscholar   +3 more sources

The Fixed Point Property of Strong Pseudocontraction Mapping

Journal of Harbin University of Science and Technology, 2020
In this paper, the iterative methods of fixed point of strong pseudocontraction mappings and accretive operators are studied in Banach spaces. A new threestep Ishikawa iteration is given.
CUI Yunan, ZHU Peng, WANG Ping
doaj   +1 more source

Fixed point Ishikawa iterations

Journal of Mathematical Analysis and Applications, 1992
If \(J\) is the closed unit inverval, with \(T\) a selfmap of \(J\), the Ishikawa iterates of \(T\) are defined by \(u_{n+1}=[(1-\alpha_ n)u_ n+\alpha_ nT[(1-\beta_ n)u_ n+b_ n Tu_ n]]\) with \(u_ 0\in J\) and \(\{\alpha_ n\}\), \(\{\beta_ n\}\) satisfying the three conditions \[ \text{(a)} \quad 0\leq \alpha_ n\leq \beta_ n\leq 1, \qquad \text{(b ...
Kalinde, Albert K, Rhoades, B.E
openaire   +2 more sources

Fixed point theorems in uniformly convex Banach spaces

Ratio Mathematica, 2023
In this article, we establish a concept of fixed point result in Uniformly convex Banach space. Our main finding uses the Ishikawa iteration technique in uniformly convex Banach space to demonstrate strong convergence.
Manoj Karuppasamy, R. Jahir Hussain
doaj   +1 more source

Data dependence results of a new multistep and S-iterative schemes for contractive-like operators [PDF]

, 2012
In this paper, we prove that convergence of a new iteration and S-iteration can be used to approximate to the fixed points of contractive-like operators.
Gursoy, Faik, Karakaya, Vatan, Rhoades, Billy E.   +2 more
core   +1 more source

Implicit Ishikawa Approximation Methods for Nonexpansive Semigroups in CAT(0) Spaces

Abstract and Applied Analysis, 2013
This paper is devoted to the convergence of the implicit Ishikawa iteration processes for approximating a common fixed point of nonexpansive semigroup in CAT(0) spaces.
Zhi-bin Liu, Yi-shen Chen, Xue-song Li, Yi-bin Xiao   +3 more
doaj   +1 more source

Iterative Schemes of Mean Nonexpansive Mapping

Journal of Harbin University of Science and Technology, 2021
Based on Mann iteration, Ishikawa iteration and some other twostep iteration, threestep iteration methods, two new fourstep iteration schemes and one nstep iteration are constructed.
CUI Yunan , ZHANG Jiaxing
doaj   +1 more source

Proof mining in metric fixed point theory and ergodic theory [PDF]

, 2009
In this survey we present some recent applications of proof mining to the fixed point theory of (asymptotically) nonexpansive mappings and to the metastability (in the sense of Terence Tao) of ergodic averages in uniformly convex Banach spaces.Comment ...
Leustean, Laurentiu
core   +3 more sources