03664nam 22009373a 450 991036775170332120251118003112.09783039216673303921667810.3390/books978-3-03921-667-3(CKB)4100000010106200(oapen)https://directory.doabooks.org/handle/20.500.12854/60388(ScCtBLL)24c40f8e-c8ad-441f-8ea1-2f7020051a74(OCoLC)1163841951(oapen)doab60388(EXLCZ)99410000001010620020250203i20192019 uu engurmn|---annantxtrdacontentcrdamediacrrdacarrierSymmetry with Operator Theory and EquationsIoannis ArgyrosMDPI - Multidisciplinary Digital Publishing Institute2019Basel, Switzerland :MDPI,2019.1 electronic resource (208 p.)9783039216666 303921666X 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.Lipschitz conditionorder of convergenceScalar equationslocal and semilocal convergencemultiple rootsNondifferentiable operatoroptimal iterative methodsOrder of convergenceconvergence orderfast algorithmsiterative methodcomputational convergence ordergeneralized mixed equilibrium problemnonlinear equationssystems of nonlinear equationsChebyshev’s iterative methodlocal convergenceiterative methodsdivided differenceMultiple rootssemi-local convergencescalar equationsleft Bregman asymptotically nonexpansive mappingbasin of attractionmaximal monotone operatorNewton–HSS methodgeneral meansSteffensen’s methodderivative-free methodsimple rootsfixed point problemsplit variational inclusion problemweighted-Newton methodball radius of convergenceTraub–Steffensen methodNewton’s methodfractional derivativeBanach spacemultiple-root solversuniformly convex and uniformly smooth Banach spaceFréchet-derivativeoptimal convergenceOptimal iterative methodsbasins of attractionnonlinear equationArgyros Ioannis K726399ScCtBLLScCtBLLBOOK9910367751703321Symmetry with Operator Theory and Equations4457032UNINA