Results 91 to 100 of about 1,168,012 (202)

A fixed point iterative method for the solution of two-point boundary value problems for a second order differential equations

Alexandria Engineering Journal, 2018
Recently Kilicman et al. (2006) propose a variational fixed point iteration technique with the Galerkin method for the determination of the starting function for the solution of second order linear ordinary differential equation with two-point boundary ...
Nakone Bello, Alhaji Jibril Alkali, Abubakar Roko   +2 more
doaj   +1 more source

The convergence of mean value iteration for a family of maps

International Journal of Mathematics and Mathematical Sciences, 2005
We consider a mean value iteration for a family of functions, which corresponds to the Mann iteration with lim⁡n→∞  αn≠0. We prove convergence results for this iteration when applied to strongly pseudocontractive or strongly accretive maps.
B. E. Rhoades, Ştefan M. Şoltuz
doaj   +1 more source

Stability of the Mann and Ishikawa Iteration Procedures for φ-Strong Pseudocontractions and Nonlinear Equations of the φ-Strongly Accretive Type

, 1998
We study the stability of the Mann and Ishikawa iteration procedures for the class of Lipschitz φ-strongly pseudocontractive maps in arbitrary real Banach spaces.
Osilike, M.O
core   +1 more source

Mann iteration process for monotone nonexpansive mappings with a graph

, 2018
Let ( X , ∥
Monther Rashed Alfuraidan
core   +1 more source

A Common Fixed Point Theorem for Two Random Operators using Random Mann Iteration Scheme

, 2013
: In this paper, we proved that if a random Mann iteration scheme is defined by two random operators is convergent under some contractive inequality the limit point is a common fixed point of each of two random operators in Banach space.
Dhakde, Alkesh Kumar, Magarde, Devkrishna, Saluja, S.   +2 more
core  

On the Application of Mann-Iterative Scheme with h-Convexity in the Generation of Fractals

Fractal and Fractional
Self-similarity is a common feature among mathematical fractals and various objects of our natural environment. Therefore, escape criteria are used to determine the dynamics of fractal patterns through various iterative techniques. Taking motivation from
Asifa Tassaddiq, Muhammad Tanveer, Muhammad Zubair, Muhammad Arshad, Carlo Cattani   +4 more
doaj   +1 more source

Faster Multistep Iterations for the Approximation of Fixed Points Applied to Zamfirescu Operators

Abstract and Applied Analysis, 2013
By taking a counterexample, we prove that the multistep iteration process is faster than the Mann and Ishikawa iteration processes for Zamfirescu operators.
Shin Min Kang, Ljubomir B. Ćirić, Arif Rafiq, Faisal Ali, Young Chel Kwun   +4 more
doaj   +1 more source

The equivalence between the T-stabilities of modified Mann-Ishikawa and Mann-Ishikawa iterations

Journal of Numerical Analysis and Approximation Theory, 2006
We show that all \(T\)-stabilities of Mann-Ishikawa iterations and modified Mann-Ishikawa iterations are equivalent.
Ştefan M. Şoltuz
doaj   +2 more sources

Some stability theorems for some iteration processes [PDF]

, 2006
summary:In this paper, we obtain some stability results for Picard and Mann iteration processes in metric space and normed linear space respectively, using two different contractive definitions which are more general than those of Harder and Hicks [4 ...
Imoru, C. O., Olatinwo, M. O.
core  

Comparison of the Rate of Convergence among Picard, Mann, Ishikawa, and Noor Iterations Applied to Quasicontractive Maps

Fixed Point Theory and Applications, 2010
We provide sufficient conditions for Picard iteration to converge faster than Krasnoselskij, Mann, Ishikawa, or Noor iteration for quasicontractive operators.
Xue Zhiqun, Rhoades BE
doaj