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Symmetry with Operator Theory and Equations

A plethora of problems from diverse disciplines such as Mathematics, Mathematical: Biology, Chemistry, Economics, Physics, Scientific Computing and also Engineering can be formulated as an equation defined in abstract spaces using Mathematical Modelling. The solutions of these equations can be found...

Täydet tiedot

Tallennettuna:
Päätekijä: Argyros, Ioannis
Aineistotyyppi: Online
Kieli:englanti
Julkaistu: MDPI - Multidisciplinary Digital Publishing Institute 2021
Aiheet:
QA1-939
Q1-390
Lipschitz condition
order of convergence
Scalar equations
local and semilocal convergence
multiple roots
Nondifferentiable operator
optimal iterative methods
Order of convergence
convergence order
fast algorithms
iterative method
computational convergence order
generalized mixed equilibrium problem
nonlinear equations
systems of nonlinear equations
Chebyshev’s iterative method
local convergence
iterative methods
divided difference
Multiple roots
semi-local convergence
scalar equations
left Bregman asymptotically nonexpansive mapping
basin of attraction
maximal monotone operator
Newton–HSS method
general means
Steffensen’s method
derivative-free method
simple roots
fixed point problem
split variational inclusion problem
weighted-Newton method
ball radius of convergence
Traub–Steffensen method
Newton’s method
fractional derivative
Banach space
multiple-root solvers
uniformly convex and uniformly smooth Banach space
Fréchet-derivative
optimal convergence
Optimal iterative methods
basins of attraction
nonlinear equation
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Yhteenveto:A plethora of problems from diverse disciplines such as Mathematics, Mathematical: Biology, Chemistry, Economics, Physics, Scientific Computing and also Engineering can be formulated as an equation defined in abstract spaces using Mathematical Modelling. The solutions of these equations can be found in closed form only in special case. That is why researchers and practitioners utilize iterative procedures from which a sequence is being generated approximating the solution under some conditions on the initial data. This type of research is considered most interesting and challenging. This is our motivation for the introduction of this special issue on Iterative Procedures.

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