Results 61 to 70 of about 102 (88)

A mathematical framework of HIV and TB co-infection dynamics. [PDF]

Sci Rep
Raza N, Irum S, Niazai S, Ullah MA, Alshahrani MY, Omame A.   +5 more
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Golden Ratio as Optimal Convergence Rate in Krasnoselskii-Mann Iterations with H₂ Coxeter Symmetry — E8 Intelligence Research

FINDING: The golden ratio φ = 1.618... appears as the optimal convergence rate constant for certain fixed-point iterations, specifically linked to the H₂ Coxeter group (dihedral symmetry of order 10) and Krasnoselskii-Mann iterations. MATH: - Fixed-point iteration convergence rate: \( |x_{n+1} - x^*| \leq C \cdot r^n \), where \( r = |g'(x ...
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Krasnoselskii's iteration process in hyperbolic space

Numerical Functional Analysis and Optimization, 1982
A well-known iteration scheme due to Krasnoselskii for approximation of fixed points of nonexpansive mappings in Banach spaces is extended to a wider class of spaces. This class includes convex metric spaces of ‘hyperbolic’ type, and the results apply to the study of holomorphic self-mappings of the unit ball in complex Hilbert space.
W A Kirk
exaly   +2 more sources

Generalized Krasnoselskii–Mann-Type Iteration for Nonexpansive Mappings in Banach Spaces

Journal of the Operations Research Society of China, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ke Guo, Guo Ke
exaly   +2 more sources

New Convergence Results for Inertial Krasnoselskii–Mann Iterations in Hilbert Spaces with Applications

Results in Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Olaniyi S. Iyiola, Yekini Shehu
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Convergence Rate Analysis of Inertial Krasnoselskii–Mann Type Iteration with Applications

Numerical Functional Analysis and Optimization, 2018
It is well known that the Krasnoselskii–Mann iteration of nonexpansive operators find applications in many areas of mathematics and known to be weakly convergent in the infinite dimensional setting...
Yekini Shehu
exaly   +2 more sources

A strong convergence theorem for a modified Krasnoselskii iteration method and its application to seepage theory in Hilbert spaces

Journal of the Egyptian Mathematical Society, 2014
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Comparison and successive iteration of approximate solution of ordinary differential equations with initial conditions by the new modified Krasnoselskii iteration method

2013
In this paper, we used the Picard successive iteration method and the new modified Krasnoselskii iteration method in order to solve different types of ordinary linear differential equations having initial conditions. By applying the new modified Krasnoselskii iteration method, not only do we obtain the approximate solutions for the problem, but also ...
Mutlu, A., Bildik, N., Bakir, Yasemin
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Perturbed Inertial Krasnoselskii-Mann Iterations

2023
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Solution of nonlinear boundary value problem by S-iteration

Journal of Applied Mathematics and Computing, 2021
Thenmozhi Shanmugam, Marudai M, M Marudai   +2 more
exaly