The purpose of this paper is to study the almost sure T-stability and convergence of Ishikawa-type and Mann-type random iterative algorithms for some kind of C-weakly contractive type random operators in a separable B...The purpose of this paper is to study the almost sure T-stability and convergence of Ishikawa-type and Mann-type random iterative algorithms for some kind of C-weakly contractive type random operators in a separable Banach space. Under suitable conditions, the Bochner integrability of random fixed points for this kind of random operators and the almost sure T-stability and convergence for these two kinds of random iterative algorithms are proved.展开更多
Let(X,d)be a cone metric space and T:X!X be a mapping.In this paper,we shall introduce the concept of strong T-stability of fixed point iteration procedures with respect to T in cone metric spaces.Also,we will investi...Let(X,d)be a cone metric space and T:X!X be a mapping.In this paper,we shall introduce the concept of strong T-stability of fixed point iteration procedures with respect to T in cone metric spaces.Also,we will investigate some meaningful results on strong T-stability of Picard iterations in cone metric spaces without the assumption of normality.Our main results improve and generalize some related results in the literature.展开更多
In this paper, T-stability of the Euler-Maruyama method is taken into account for linear stochastic delay differential equations with multiplicative noise and constant time lag in the Under a certain condition for coe...In this paper, T-stability of the Euler-Maruyama method is taken into account for linear stochastic delay differential equations with multiplicative noise and constant time lag in the Under a certain condition for coefficients, T-stability of the numerical scheme is researched. Moreover, some numerical examples will be presented to support the theoretical results.展开更多
基金Project supported by the Natural Science Foundation of Yibin University (No. 2011Z03)
文摘The purpose of this paper is to study the almost sure T-stability and convergence of Ishikawa-type and Mann-type random iterative algorithms for some kind of C-weakly contractive type random operators in a separable Banach space. Under suitable conditions, the Bochner integrability of random fixed points for this kind of random operators and the almost sure T-stability and convergence for these two kinds of random iterative algorithms are proved.
基金supported by the Special Basic Cooperative Research Programs of Yunnan Provincial Undergraduate Universities’Association(grant No.202101BA070001-045)the Foundation of Major Basic Research Projects,Hanshan Normal University,China(No.ZD201807).
文摘Let(X,d)be a cone metric space and T:X!X be a mapping.In this paper,we shall introduce the concept of strong T-stability of fixed point iteration procedures with respect to T in cone metric spaces.Also,we will investigate some meaningful results on strong T-stability of Picard iterations in cone metric spaces without the assumption of normality.Our main results improve and generalize some related results in the literature.
基金Supported by the National Natural Science Foundation of China(51008084)the Natural Science Foundation of Guangdong Province(9451009001002753)
文摘In this paper, T-stability of the Euler-Maruyama method is taken into account for linear stochastic delay differential equations with multiplicative noise and constant time lag in the Under a certain condition for coefficients, T-stability of the numerical scheme is researched. Moreover, some numerical examples will be presented to support the theoretical results.
