Algorithms for Approximating Solutions of Split Variational Inclusion and Fixed-Point Problems

نویسندگان

چکیده

In this paper, the split fixed point and variational inclusion problem is considered. With help of technique, Tseng-type splitting method self-adaptive rule, an iterative algorithm proposed for solving in which involved operators S T are demicontractive g plain monotone. Strong convergence theorem proved under some mild conditions.

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Iterative Algorithms for Finding Common Solutions to Variational Inclusion Equilibrium and Fixed Point Problems

The main purpose of this paper is to introduce an explicit iterative algorithm to study the existence problem and the approximation problem of solution to the quadratic minimization problem. Under suitable conditions, some strong convergence theorems for a family of nonexpansive mappings are proved. The results presented in the paper improve and extend the corresponding results announced by som...

متن کامل

Viscosity Approximation Methods for Split Variational Inclusion and Fixed Point Problems in Hilbert Spaces

The main objective of this paper is to find a common solution of split variational inclusion problem and fixed point problem of infinite family of nonexpansive operators in a setting of real Hilbert spaces. To reach this goal, the iterative algorithms which combine Moudafi’s viscosity approximation method with some fixed point technically proving methods are utilized for solving the problem. We...

متن کامل

Viscosity Iterative Schemes for Finding Split Common Solutions of Variational Inequalities and Fixed Point Problems

and Applied Analysis 3 where S1 is a nonexpansive mapping. They proved that the sequence {xn} defined by 1.6 strongly converge to x∗ ∈ F S1 ⋂ VI C, T , if the coefficient αn, λn satisfy the following conditions:

متن کامل

A General Iterative Process for Common Solutions of Quasi Variational Inclusion and Fixed Point Problems

In this paper, quasi-variational inclusion and fixed point problems are investigated based on a general iterative process. Strong convergence theorems are established in the framework of Hilbert spaces.

متن کامل

A strong convergence theorem for solutions of zero point problems and fixed point problems

Zero point problems of the sum of two monotone mappings and fixed point problems of a strictly pseudocontractive mapping are investigated‎. ‎A strong convergence theorem for the common solutions of the problems is established in the framework of Hilbert spaces‎.

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

ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11030641