# Approximation for fixed points of strict pseudo-contractions and solutions of equilibrium and optimization problems

## Related Articles

- Convergence Analysis for a System of Generalized Equilibrium Problems and a Countable Family of Strict Pseudocontractions. Cholamjiak, Prasit; Suantai, Suthep // Fixed Point Theory & Applications;2011, Special section p1
We introduce a new iterative algorithm for a system of generalized equilibrium problems and a countable family of strict pseudocontractions in Hilbert spaces. We then prove that the sequence generated by the proposed algorithm converges strongly to a common element in the solutions set of a...

- A General Iterative Method for Variational Inequality Problems, Mixed Equilibrium Problems, and Fixed Point Problems of Strictly Pseudocontractive Mappings in Hilbert Spaces. Wangkeeree, Rattanaporn; Wangkeeree, Rabian // Fixed Point Theory & Applications;2009, Special section p1
We introduce an iterative scheme for finding a common element of the set of fixed points of a k-strictly pseudocontractive mapping, the set of solutions of the variational inequality for an inverse-strongly monotone mapping, and the set of solutions of the mixed equilibrium problem in a real...

- Viscosity Approximation Methods for Equilibrium Problems, Variational Inequality Problems of Infinitely Strict Pseudocontractions in Hilbert Spaces. Aihong Wang // Journal of Applied Mathematics;2012, p1
We introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of the solutions of the equilibrium problem and the set of fixed points of infinitely strict pseudocontractive mappings. Strong convergence theorems are established in Hilbert spaces....

- Hybrid Projection Algorithms for Generalized Equilibrium Problems and Strictly Pseudocontractive Mappings. Jong Kyu Kim; Sun Young Cho; Xiaolong Qin // Journal of Inequalities & Applications;2010, Vol. 2010, p1
The purpose of this paper is to consider the problem of finding a common element in the solution set of equilibrium problems and in the fixed point set of a strictly pseudocontractive mapping. Strong convergence of the purposed hybrid projection algorithm is obtained in Hilbert spaces.

- Convergence Theorems for Equilibrium Problems and Fixed-Point Problems of an Infinite Family of ki-Strictly Pseudocontractive Mapping in Hilbert Spaces. Haitao Che; Meixia Li; Xintian Pan // Journal of Applied Mathematics;2012, p1
We first extend the definition of Wn from an infinite family of nonexpansive mappings to an infinite family of strictly pseudocontractive mappings, and then propose an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium...

- Convergence Theorems for Equilibrium Problems and Fixed-Point Problems of an Infinite Family of &kappai-Strictly Pseudocontractive Mapping in Hilbert Spaces. Haitao Che; Meixia Li; Xintian Pan // Journal of Biomedicine & Biotechnology;2012, Vol. 2012, p1
We first extend the definition of Wn from an infinite family of nonexpansive mappings to an infinite family of strictly pseudocontractive mappings, and then propose an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium...

- Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space. Rudong Chen; Xilin Shen; Shujun Cui // Journal of Inequalities & Applications;2010, Vol. 2010, p1
We introduce two iterative sequence for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a countable family of strict pseudocontractions in Hilbert Space. Then we study the weak and strong convergence of the sequences.

- New Iterative Scheme for Common Solution of Equilibrium Problems, Variational Inequalities and Fixed Point of k-strictly Pseudo-contractive Mappings in Hilbert Spaces. Enyi, Cyril Dennis; Iyiola, Olaniyi Samuel // British Journal of Mathematics & Computer Science;2014, Vol. 4 Issue 4, p512
In this paper, we present a new iterative scheme for finding a common point among the set of solution of equilibrium problems, the set of solution to a variational inequality problem and the fixed point set of Ì„k-strictly pseudo-contractive mappings in a real Hilbert space. We then prove...

- Convergence Theorems for Accretive Operators with Nonlinear Mappings in Banach Spaces. Yan-Lai Song; Lu-Chuan Ceng // Abstract & Applied Analysis;2014, p1
The purpose of this paper is to present two new forward-backward splitting schemes with relaxations and errors for finding a common element of the set of solutions to the variational inclusion problem with two accretive operators and the set of fixed points of strict pseudocontractions in...

- ITERATIVE ALGORITHMS FOR FAMILIES OF VARIATIONAL INEQUALITIES FIXED POINTS AND EQUILIBRIUM PROBLEMS. Saeidi, S. // Bulletin of the Iranian Mathematical Society;Apr2011, Vol. 37 Issue 1, p247
We introduce an iterative algorithm for finding a common element of the set of fixed points for an infinite family of nonexpansive mappings, the set of solutions of the variational inequalities for a family of Î±-inverse-strongly monotone mappings and the set of solutions of a system of...