Results 191 to 200 of about 953,111 (222)

Convergence theorems using Ishikawa iteration for finding common fixed points of demiclosed and 2-demiclosed mappings in Hilbert spaces

Advances in Operator Theory, 2022
This paper presents weak and strong convergence theorems for finding common fixed points of two nonlinear mappings, where one mapping is demiclosed, and the other is 2-demiclosed.
Atsumasa Kondo
exaly   +2 more sources

Strong Convergence Theorems for a Finite Family of Enriched Strictly Pseudocontractive Mappings and ΦT-Enriched Lipschitizian Mappings Using a New Modified Mixed-Type Ishikawa Iteration Scheme with Error

Symmetry, 2022
In this paper, we introduce two new classes of mappings known as λ-enriched strictly pseudocontractive mappings and ΦT-enriched Lipshitizian mappings in the setup of a real Banach space.
Naeem Saleem, Umar Ishtiaq, Stojan Radenovic   +2 more
exaly   +2 more sources

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A modified Ishikawa iteration scheme for b‐enriched nonexpansive mapping to solve split variational inclusion problem and fixed point problem in Hilbert spaces

Mathematical Methods in the Applied Sciences, 2023
In this article, an Ishikawa iteration scheme is modified for b$$ b $$ ‐enriched nonexpansive mapping to solve a fixed point problem and a split variational inclusion problem in real Hilbert spaces.
Pawicha Phairatchatniyom, Poom Kumam, Vasile Berinde   +2 more
exaly   +2 more sources

SOME NOTES ON ISHIKAWA ITERATION FOR MULTI-VALUED MAPPINGS

Bulletin of the Korean Mathematical Society, 2011
Yisheng Song
exaly   +2 more sources

Weak stability of the Ishikawa iteration procedures for ∅-hemicontractions and accretive operators

Applied Mathematics Letters, 2001
Let X be an arbitrary Banach space, K be a nonempty closed convex subset of X, and T : K → K be a Lipschitzian and hemicontractive mapping with the property lim inft→∞(∅(t)/t) > 0.
Y J Cho
exaly   +2 more sources

Equivalent theorems of the convergence between Ishikawa–Halpern iteration and viscosity approximation method

Applied Mathematics Letters, 2010
The aim of this paper is to establish four groups of equivalent theorems of convergence between Ishikawa–Halpern iteration and viscosity approximation method, respectively.
Shuang Wang, Changsong Hu, Hongchang Hu   +2 more
exaly   +2 more sources

CONVERGENCE OF ISHIKAWA ITERATION WITH ERROR TERMS ON AN ARBITRARY INTERVAL

Communications of the Korean Mathematical Society, 2011
Qing Yuan, Xiaolong Qin
exaly   +2 more sources

The equivalence between Mann–Ishikawa iterations and multistep iteration

Nonlinear Analysis: Theory, Methods & Applications, 2004
In this interesting paper, the authors consider the equivalence between the one-step, two-step, three-step and multistep-iteration process for solving the nonlinear operator equations \(Tu = 0\) in a Banach space for pseudocontractive operators \(T\). It is worth mentioning that three-step iterative schemes were introduced by \textit{M. A.
Rhoades, B. E., Soltuz, Stefan M.
openaire   +2 more sources

Convergence of Ishikawa’s iteration method for pseudocontractive mappings

Nonlinear Analysis: Theory, Methods & Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zegeye, Habtu, Shahzad, Naseer, Alghamdi, Mohammad A.   +2 more
openaire   +1 more source

Random Ishikawa Iterative Sequence with Applications

Stochastic Analysis and Applications, 2005
The purpose of this paper is to construct a random Ishikawa iterative sequence for random strongly pseudo-contractive operator T in separable Banach spaces and to study that under suitable conditions this random iterative sequence converges to a random fixed point to T.
S.S. Chang, Y.J. Cho, J.K. Kim, H.Y. Zhou   +3 more
openaire   +1 more source