Font Size: a A A

Iterative Approximations Of Fixed Points For Several Classes Of Nonlinear Mappigs

Posted on:2018-09-06Degree:MasterType:Thesis
Country:ChinaCandidate:D LiFull Text:PDF
GTID:2310330515498878Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper,first we use the generalized Lipschitz condition to replace the bounded set of range T(D),and study the convergence and stability of the Ishikawa iterative sequence of the mixed error for(?)-pseudo-contractive mappings under the weak condition of the iterative parameter.Next,we introduce a kind new of viscosity iterative algorithms,and study iterative approximation problem of zero points for accretive operators in Banach space.It is proved that this kind new viscosity iterative algorithms converges strongly to a zero points of accretive operators.Finall,in a real Banach space with a uniformly Gateaux differentiable norm,we study viscosity iterative convergence of Reich-Takahashi with mixed errors for non-self asymptotically nonexpansive mapping and establish strong convergence theorems of Reich-Takahashi viscosity iterative sequences with mixed errors for non-self asymptotically nonexpansive mapping without any bounded assumption,which extend and improve the corresponding results in some references.
Keywords/Search Tags:(?)-pseudo-contractive mappings, Generalized Lipschitz mappings, Mixed errors, Stability, Zero points for accretive operators, Non-self asymptotically nonexpansive mapping, Reich-Takahashi iterative sequences
PDF Full Text Request
Related items