Iterative methods for mixed equilibrium problems and strictly pseudocontractive mappings
نویسندگان
چکیده
منابع مشابه
Iterative Methods for Family of Strictly Pseudocontractive Mappings and System of Generalized Mixed Equilibrium Problems and Variational Inequality Problems
We introduce a new iterative scheme by hybrid method for finding a common element of the set of common fixed points of infinite family of k-strictly pseudocontractive mappings and the set of common solutions to a system of generalized mixed equilibrium problems and the set of solutions to a variational inequality problem in a real Hilbert space. We then prove strong convergence of the scheme to...
متن کاملWeak Convergence Theorems for Strictly Pseudocontractive Mappings and Generalized Mixed Equilibrium Problems
We introduce a new iterative method for finding a common element of the set of fixed points of a strictly pseudocontractive mapping, the set of solutions of a generalized mixed equilibrium problem, and the set of solutions of a variational inequality problem for an inverse-stronglymonotone mapping in Hilbert spaces and then show that the sequence generated by the proposed iterative scheme conve...
متن کاملA new iterative method for equilibrium problems and “xed point problems for in“nite family of nonself strictly pseudocontractive mappings
A new iterative method for equilibrium problems and fixed point problems for infinite family of nonself strictly pseudocontractive mappings Abstract The purpose of this paper is to present an iterative method for finding a common element of the set of solutions for an equilibrium problem and the set of common fixed points for a countably infinite family of nonself λ i-strictly pseudocontractive...
متن کاملThe Shrinking Projection Method for Common Solutions of Generalized Mixed Equilibrium Problems and Fixed Point Problems for Strictly Pseudocontractive Mappings
We introduce the shrinking hybrid projection method for finding a common element of the set of fixed points of strictly pseudocontractive mappings, the set of common solutions of the variational inequalities with inverse-strongly monotone mappings, and the set of common solutions of generalized mixed equilibrium problems in Hilbert spaces. Furthermore, we prove strong convergence theorems for a...
متن کاملIterative Methods for Variational Inequalities, Equilibrium Problems, and Asymptotically Strict Pseudocontractive Mappings
In this paper, we introduce iterative algorithms for finding a common element of the set of fixed points for an asymptotically strict pseudocontractive mappings in the intermediate sense, the set of solutions of the variational inequalities for a family of α-inverse-strongly monotone mappings and the set of solutions of a system of equilibrium problems in a Hilbert space. We establish some weak...
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: Fixed Point Theory and Applications
سال: 2012
ISSN: 1687-1812
DOI: 10.1186/1687-1812-2012-184