Parallel Hybrid Algorithms for a Finite Family of G-Nonexpansive Mappings and Its Application in a Novel Signal Recovery
نویسندگان
چکیده
This article considers a parallel monotone hybrid algorithm for finite family of G-nonexpansive mapping in Hilbert spaces endowed with graphs and suggests iterative schemes finding common fixed point by the two different projection methods. Moreover, we show computational performance our comparison to some Strong convergence theorems are proved under suitable conditions. Finally, give numerical experiments algorithms efficiency implementation LASSO problems signal recovery types blurred matrices noise.
منابع مشابه
Parallel and sequential hybrid methods for a finite family of asymptotically quasi $ $ \ phi $ $ φ - nonexpansive mappings
In this paper we study some novel parallel and sequential hybrid methods for finding a common fixed point of a finite family of asymptotically quasi φnonexpansive mappings. The results presented here modify and extend some previous results obtained by several authors.
متن کاملA new approximation method for common fixed points of a finite family of nonexpansive non-self mappings in Banach spaces
In this paper, we introduce a new iterative scheme to approximate a common fixed point for a finite family of nonexpansive non-self mappings. Strong convergence theorems of the proposed iteration in Banach spaces.
متن کاملStrong Convergence Theorems for a Finite Family of Nonexpansive Mappings
Let H be a real Hilbert space, C a nonempty closed convex subset of H , and T : C → C a mapping. Recall that T is nonexpansive if ‖Tx−Ty‖ ≤ ‖x− y‖ for all x, y ∈ C. A point x ∈ C is called a fixed point of T provided Tx = x. Denote by F(T) the set of fixed points of T , that is, F(T) = {x ∈ C : Tx = x}. Recall that a self-mapping f : C → C is a contraction on C, if there exists a constant α∈ (0...
متن کاملpart a: application of n-(p-toluenesulfonyl) imidazole (tsim) and triphenylphosphine/carbon tetrachloride in several organic transformations part b: application of 8-bromocaffeine for synthesis of some novel 8-caffeinyl derivatives
بخش اول این پایان نامه به طور عمده بر توسعه کاربردهای جدید n-(پارا-تولوئن سولفونیل) ایمیدازول (tsim) و تری فنیل فسفین/ تتراکلرید کربن در تبدیل گروههای عاملی به یکدیگر استوار است. نظر به تنوع زیاد، دردسترس بودن، سمیت کمتر و نقل و انتقال آسان تر الکل ها نسبت به آلکیل هالیدها، تبدیل مستقیم گروه هیدروکسیل به گروه های عاملی دیگر مثل آزید، نیتریل و استر یکی از مهم ترین تبدیلات در سنتزهای آلی است. با ...
15 صفحه اولCommon fixed points of a finite family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces
In this paper, we introduce a one-step iterative scheme for finding a common fixed point of a finite family of multivalued quasi-nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems of the propose iterative scheme under some appropriate conditions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10122140