جستجوی مقالات مرتبط با کلیدواژه "iteration process" در نشریات گروه "ریاضی"

Abstract. The purpose of this paper is to establish weak and strong convergence theorems of new three-step iterations for I-asymptotically nonexpansive mappings in Banach space.Also we introduce and study convergence theorems of the three-step iterative sequence for three I-asymptotically nonexpansive mappings in an uniformly convex Banach space. The results obtained in this paper extend and improve the recent ones announced by Chen and Guo [1], S. Temir [14], Yao and Noor[16] and many others.

‎The object of this paper is to present a new iteration process‎. ‎We will show that our process is faster than the known recent iterative schemes‎. ‎We discuss stability results of our iteration and prove some results in the context of uniformly convex Banach space for Suzuki generalized nonexpansive mappings‎. ‎We also present a numerical example for proving the rate of convergence of our results‎. ‎Our results improves many known results of the existing literature‎.

In this paper, first we use an example to show the efficiency of Miteration process introduced by Ullah and Arshad [4] for approximating fixed points of Suzuki generalized nonexpansive mappings. Then by using M iteration process, we prove some strong and Δ−convergence theorems for Suzuki generalized nonexpansive mappings in the setting of CAT(0) Spaces. Our results are the extension, improvement and generalization of many known results in CAT(0) spaces.

‎In this paper we propose a new iteration process‎, ‎called the $K^{ast }$ iteration process‎, ‎for approximation of fixed‎ ‎points‎. ‎We show that our iteration process is faster than the existing well-known iteration processes using numerical examples‎. ‎Stability of the $K^{ast‎}‎$ iteration process is also discussed‎. ‎Finally we prove some weak and strong convergence theorems for Suzuki generalized nonexpansive mappings in the setting of uniformly convex Banach spaces‎. ‎Our results are the extension‎, ‎improvement and generalization of many well-known results in the literature of iterations in‎ ‎fixed point theory‎.

In this paper, a three step iteration process has been introduced for two multivalued nonexpansive maps in hyperbolic type spaces. Using this process, common fixed points of the two mappings have been approximated  through Δ- and strong convergence. A couple of examples have been provided to validate our main results. Our results generalize many reults of the contemporary literature. In particular, the results of abbas2013new</cite> are generalized from Banach to hyperbolic spaces, those of khan2014fixed from single-valued to multivalued maps in hyperbolic space, and those of khan2014common</cite> to three step iterative scheme in hyperbolic spaces.