Results 31 to 40 of about 953,111 (222)

Existence and approximating of common best proximity points of relatively nonexpansive mappings via Ishikawa iteration method

Fixed Point Theory, 2023
. In this article, we study the existence of a common best proximity points for a finite class of cyclic relatively nonexpansive mappings in the setting of Busemann convex spaces. In this way, we extend the main results given in Eldred and Raj (2009) [A.A.
Gabeleh Moosa, Markin Jack T., Rakočevć Vladimir   +2 more
semanticscholar   +1 more source

Approximating fixed points by ishikawa iterates [PDF]

Bulletin of the Australian Mathematical Society, 1989
In a uniformly convex Banach space the convergence of Ishikawa iterates to a fixed point is discussed for nonexpansive and generalised nonexpansive mappings.
Maiti, M., Ghosh, M. K.
openaire   +1 more source

Weak and Strong Convergence Theorems of Modified Projection-Type Ishikawa Iteration Scheme for Lipschitz α-Hemicontractive Mappings

European Journal of Mathematical Analysis, 2022
In this paper, we establish weak and strong convergence theorems of a two-step modified projection-type Ishikawa iterative scheme to the fixed point of α-hemicontractive mappings without any compactness assumption on the operator or the space.
Lmo Agwu, D. Igbokwe
semanticscholar   +1 more source

Fixed point approximation under Mann iteration beyond Ishikawa [PDF]

, 2020
summary:Consider the Mann iteration $x_{n+1} = ( 1 - \alpha_n ) x_n + \alpha_n Tx_n$ for a nonexpansive mapping $T\colon K \to K$ defined on some subset $K$ of the normed space $X$.
Hester, Anthony, Morales, Claudio H.
core   +1 more source

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

Polynomiography via Ishikawa and Mann Iterations [PDF]

, 2012
The aim of this paper is to present some modifications of the complex polynomial roots finding visualization process. In this paper Ishikawa and Mann iterations are used instead of the standard Picard iteration. The name polynomiography was introduced by Kalantari for that visualization process and the obtained images are called polynomiographs ...
Wieslaw Kotarski, Krzysztof Gdawiec, Agnieszka Lisowska   +2 more
openaire   +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 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

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

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