Symmetry with Operator Theory and Equations

• Main Author: Argyros, Ioannis (auth)
• Format: Electronic Book Chapter
• Language: English
• Published: MDPI - Multidisciplinary Digital Publishing Institute 2019
• Subjects: 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
• Online Access: DOAB: download the publication; DOAB: description of the publication

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...