Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem

نویسندگان

  • Ying Zhao
  • Luoyi Shi
چکیده

This paper introduces a new extragradient-type method to solve the multiple-sets split equality problem (MSSEP). Under some suitable conditions, the strong convergence of an algorithm can be verified in the infinite-dimensional Hilbert spaces. Moreover, several numerical results are given to show the effectiveness of our algorithm.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Strong 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 کامل

Strong convergence theorem for a class of multiple-sets split variational inequality problems in Hilbert spaces

In this paper, we introduce a new iterative algorithm for approximating a common solution of certain class of multiple-sets split variational inequality problems. The sequence of the proposed iterative algorithm is proved to converge strongly in Hilbert spaces. As application, we obtain some strong convergence results for some classes of multiple-sets split convex minimization problems.

متن کامل

An Iterative Scheme for Generalized Equilibrium, Variational Inequality and Fixed Point Problems Based on the Extragradient Method

The problem ofgeneralized equilibrium problem is very general in the different subjects .Optimization problems, variational inequalities, Nash equilibrium problem and minimax problems are as special cases of generalized equilibrium problem. The purpose of this paper is to investigate the problem of approximating a common element of the set of generalized equilibrium problem, variational inequal...

متن کامل

Relaxed Implicit Extragradient-like Methods for Finding Minimum-norm Solutions of the Split Feasibility Problem

In this paper, we consider the split feasibility problem (SFP) in infinite-dimensional Hilbert spaces, and study the relaxed implicit extragradient-like methods for finding a common element of the solution set Γ of the SFP and the set Fix(S) of fixed points of a nonexpansive mapping S. Combining Mann’s implicit iterative method and Korpelevich’s extragradient method, we propose two implicit ite...

متن کامل

The Multiple-sets Split Equality Fixed Point Problem for Countable Families of Multi-valued Demi-contractive Mappings

Motivated by the recent work of Moudafi (Inverse Problem, 26 (2010), 587-600 ), Chang et al. (Appl. Math. Comput. 219, (2013), 1041610424 ), Tang Jinfang (Acta Mathematicae Applicatae Sinica, Vol. 37, (2014), 119-126 ), Wu et al. (Journal of Inequalities and Applications 2014, 2014:428 ) and Chidume et al. (J. Nonlinear Analysis and Optimization (to appear)), we investigate a Krasnoselskii-type...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره 2017  شماره 

صفحات  -

تاریخ انتشار 2017