Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space

Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space

Strong Convergence Theorems for Equilibrium Problems and k-Strict Pseudocontractions in Hilbert Spaces

and Applied Analysis 3

Strong convergence theorems for system of equilibrium problems and asymptotically strict pseudocontractions in the intermediate sense

* Correspondence: [email protected] College of Science, Civil Aviation University of China, Tianjin 300300, PR China Abstract Let {Si}i=1 be N uniformly continuous asymptotically li-strict pseudocontractions in the intermediate sense defined on a nonempty closed convex subset C of a real Hilbert space H. Consider the problem of finding a common element of the fixed point set of these mappings ...

Strong Convergence Theorems by Hybrid Methods for Strict Pseudocontractions and Equilibrium Problems

Let {Si}i 1 be N strict pseudocontractions defined on a closed convex subset C of a real Hilbert space H. Consider the problem of finding a common element of the set of fixed point of these mappings and the set of solutions of an equilibrium problem with the parallel and cyclic algorithms. In this paper, we propose new iterative schemes for solving this problem and prove these schemes converge ...

Strong Convergence Theorems for Countable Lipschitzian Mappings and Its Applications in Equilibrium and Optimization Problems

The purpose of this paper is to propose a modified hybrid method in mathematical programming and to obtain some strong convergence theorems for common fixed points of a countable family of Lipschitzian mappings. Further, we apply our results to solve the equilibrium and optimization problems. The results of this paper improved and extended the results of W. Nilsrakoo and S. Saejung 2008 and som...