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Symmetry with Operator Theory and Equations
Ioannis Argyros
2019
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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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Keywords
- ball radius of convergence
- Banach space
- basin of attraction
- basins of attraction
- Chebyshev’s iterative method
- computational convergence order
- convergence order
- derivative-free method
- divided difference
- fast algorithms
- fixed point problem
- fractional derivative
- Fréchet-derivative
- general means
- generalized mixed equilibrium problem
- iterative method
- iterative methods
- left Bregman asymptotically nonexpansive mapping
- Lipschitz condition
- local and semilocal convergence
- local convergence
- maximal monotone operator
- Multiple roots
- multiple-root solvers
- Newton–HSS method
- Newton’s method
- Nondifferentiable operator
- nonlinear equation
- nonlinear equations
- optimal convergence
- Optimal iterative methods
- order of convergence
- scalar equations
- semi-local convergence
- simple roots
- split variational inclusion problem
- Steffensen’s method
- systems of nonlinear equations
- Traub–Steffensen method
- uniformly convex and uniformly smooth Banach space
- weighted-Newton method
Links
DOI: 10.3390/books978-3-03921-667-3Editions
