The Split Equality Fixed Point Problem of Demicontractive Operators with Numerical Example and Application
نویسندگان
چکیده
منابع مشابه
Viscosity approximation methods for the multiple-set split equality common fixed-point problems of demicontractive mappings
In this paper, we consider a new parallel algorithm combining viscosity approximation methods to approximate the multiple-set split common fixed point problem governed by demicontractive mappings, and get the generated sequence converges strongly to a solution of this problem. The results obtained in this paper generalize and improve the recent ones announced by many others. c ©2017 All rights ...
متن کاملStrong convergence theorem for solving split equality fixed point problem which does not involve the prior knowledge of operator norms
Our contribution in this paper is to propose an iterative algorithm which does not require prior knowledge of operator norm and prove a strong convergence theorem for approximating a solution of split equality fixed point problem for quasi-nonexpansive mappings in a real Hilbert space. So many have used algorithms involving the operator norm for solving split equality fixed point problem, ...
متن کاملMultidirectional hybrid algorithm for the split common fixed point problem and application to the split common null point problem
In this article, a new multidirectional monotone hybrid iteration algorithm for finding a solution to the split common fixed point problem is presented for two countable families of quasi-nonexpansive mappings in Banach spaces. Strong convergence theorems are proved. The application of the result is to consider the split common null point problem of maximal monotone operators in Banach spaces. ...
متن کاملA Cyclic and Simultaneous Iterative Algorithm for the Multiple Split Common Fixed Point Problem of Demicontractive Mappings
Abstract. The purpose of this paper is to address the multiple split common fixed point problem. We present two different methods to approximate a solution of the problem. One is cyclic iteration method; the other is simultaneous iteration method. Under appropriate assumptions on the operators and iterative parameters, we prove both the proposed algorithms converge to the solution of the multip...
متن کاملOn the Strong Convergence of an Algorithm about Firmly Pseudo-Demicontractive Mappings for the Split Common Fixed-Point Problem
Based on the recent work by Censor and Segal 2009 J. Convex Anal.16 , and inspired by Moudafi 2010 Inverse Problems 26 , we modify the algorithm of demicontractive operators proposed by Moudafi and study the modified algorithm for the class of firmly pseudodemicontractive operators to solve the split common fixed-point problem in a Hilbert space. We also give the strong convergence theorem unde...
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: Symmetry
سال: 2020
ISSN: 2073-8994
DOI: 10.3390/sym12060902