Convergence and Stability Results for Some Iterative Schemes
نویسنده
چکیده
We obtain strong convergence results for quasi-contractive operators in arbitrary Banach space via some recently introduced iterative schemes and also establish stablity theorems for Kirk’s iterative process. Our results generalize and extend some well-known results in the literature. 2000 Mathematics Subject Classification: 47H06, 47H10.
منابع مشابه
Convergence of an Iterative Scheme for Multifunctions on Fuzzy Metric Spaces
Recently, Reich and Zaslavski have studied a new inexact iterative scheme for fixed points of contractive and nonexpansive multifunctions. In 2011, Aleomraninejad, et. al. generalized some of their results to Suzuki-type multifunctions. The study of iterative schemes for various classes of contractive and nonexpansive mappings is a central topic in fixed point theory. The importance of Banach ...
متن کاملOn new faster fixed point iterative schemes for contraction operators and comparison of their rate of convergence in convex metric spaces
In this paper we present new iterative algorithms in convex metric spaces. We show that these iterative schemes are convergent to the fixed point of a single-valued contraction operator. Then we make the comparison of their rate of convergence. Additionally, numerical examples for these iteration processes are given.
متن کاملStability and convergence theorems of pointwise asymptotically nonexpansive random operator in Banach space
In this paper, we prove the existence of a random fixed point of by using pointwise asymptotically nonexpansive random operator and the stability resultsof two iterative schemes for random operator.
متن کاملGeneralized iterative methods for solving double saddle point problem
In this paper, we develop some stationary iterative schemes in block forms for solving double saddle point problem. To this end, we first generalize the Jacobi iterative method and study its convergence under certain condition. Moreover, using a relaxation parameter, the weighted version of the Jacobi method together with its convergence analysis are considered. Furthermore, we extend a method...
متن کاملRichardson and Chebyshev Iterative Methods by Using G-frames
In this paper, we design some iterative schemes for solving operator equation $ Lu=f $, where $ L:Hrightarrow H $ is a bounded, invertible and self-adjoint operator on a separable Hilbert space $ H $. In this concern, Richardson and Chebyshev iterative methods are two outstanding as well as long-standing ones. They can be implemented in different ways via different concepts.In this paper...
متن کاملConvergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems
In this paper we propose and studied a new composite iterative scheme with certain control con-ditions for viscosity approximation for a zero of accretive operator and xed points problems in areflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequencefxng dened by the new introduced iterative sequence is proved. The main results improve andcomplement the co...
متن کامل