Iterative common solutions of fixed point and variational inequality problems
نویسندگان
چکیده
منابع مشابه
An extragradient iterative scheme for common fixed point problems and variational inequality problems with applications
In this paper, by combining a modified extragradient scheme with the viscosity approximation technique, an iterative scheme is developed for computing the common element of the set of fixed points of a sequence of asymptotically nonexpansive mappings and the set of solutions of the variational inequality problem for an α-inverse strongly monotone mapping. We prove a strong convergence theorem f...
متن کاملCommon Solutions of an Iterative Scheme for Variational Inclusions, Equilibrium Problems, and Fixed Point Problems
We introduce an iterative scheme by the viscosity approximate method for finding a common element of the set of solutions of a variational inclusion with set-valued maximal monotone mapping and inverse stronglymonotonemappings, the set of solutions of an equilibrium problem, and the set of fixed points of a nonexpansive mapping. We obtain a strong convergence theorem for the sequences generated...
متن کاملA 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 کاملViscosity 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 کاملIterative 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 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: Journal of Nonlinear Sciences and Applications
سال: 2016
ISSN: 2008-1901
DOI: 10.22436/jnsa.009.04.42