Strong Convergence and Stability results for Jungck-SP iterative scheme
نویسندگان
چکیده
In this paper, we study strong convergence as well as stability results for a pair of nonself mappings using Jungck-SP iterative scheme and a certain contractive condition. Moreover, with the help of computer programs in C++, we show that Jungck-SP iterative scheme converges faster than Jungck-Noor, Jungck-Ishikawa and Jungck-Mann iterative schemes through example. General Terms Computational Mathematics
منابع مشابه
Analytical and numerical treatment of Jungck-type iterative schemes
In this paper, we introduce a new and general Jungck-type iterative scheme for a pair of nonself mappings and study its strong convergence, stability and data dependence. It is exhibited that our iterative scheme has much better convergence rate than those of Jungck–Mann, Jungck–Ishikawa, Jungck–Noor and Jungck–CR iterative schemes. Numerical examples in support of validity and applications of ...
متن کاملConvergence and almost sure (S,T)-stability for random iterative schemes
In this paper, we study the convergence and almost sure (S, T)−stability of Jungck-Noor type, Jungck-SP type, Jungck-Ishikawa type and Jungck-Mann type random iterative algorithms for some kind of a general contractive type random operators (2.14) in a separable Banach spaces. The Bochner integrability of random fixed point of this kind of random operators, the convergence and almost sure (S, T...
متن کاملOn the Convergence of Modified Three-step Iteration Process for Generalized Contractive-like Operators (communicated by Martin Hermann)
In this paper, we introduce a new Jungck-three step iterative scheme and call it modified three-step iteration process. A strong convergence theorem is proved using this iterative process for the class of generalized contractive-like operators introduced by Olatinwo [14] and Bosede [3] respectively, in a Banach space. The results obtained in this paper improve and generalize among others, the r...
متن کاملCONVERGENCE THEOREMS FOR ASYMPTOTICALLY PSEUDOCONTRACTIVE MAPPINGS IN THE INTERMEDIATE SENSE FOR THE MODIFIED NOOR ITERATIVE SCHEME
We study the convergence of the modified Noor iterative scheme for the class of asymptotically pseudocontractive mappings in the intermediate sense which is not necessarily Lipschitzian. Our results improves, extends and unifies the results of Schu [23] and Qin {it et al.} [25].
متن کاملConvergence and Stability of Modified Random SP-Iteration for A Generalized Asymptotically Quasi-Nonexpansive Mappings
The purpose of this paper is to study the convergence and the almost sure T-stability of the modied SP-type random iterative algorithm in a separable Banach spaces. The Bochner in-tegrability of andom xed points of this kind of random operators, the convergence and the almost sure T-stability for this kind of generalized asymptotically quasi-nonexpansive random mappings are obtained. Our result...
متن کامل