Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space
نویسندگان
چکیده
منابع مشابه
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 ...
متن کاملConvergence Analysis for a System of Generalized Equilibrium Problems and a Countable Family of Strict Pseudocontractions
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 system of generalized equilibrium problems and the common fixed points set of an infinitely countable fam...
متن کاملWeak Convergence Theorems for a Countable Family of Strict Pseudocontractions in Banach Spaces
We investigate the convergence of Mann-type iterative scheme for a countable family of strict pseudocontractions in a uniformly convex Banach space with the Fréchet differentiable norm. Our results improve and extend the results obtained by Marino-Xu, Zhou, Osilike-Udomene, Zhang-Guo and the corresponding results. We also point out that the condition given by ChidumeShahzad 2010 is not satisfie...
متن کاملStrong 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 ...
متن کاملGeneral Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces
We propose an implicit iterative scheme and an explicit iterative scheme for finding a common element of the set of fixed point of infinitely many strict pseudocontractive mappings and the set of solutions of an equilibrium problem by the general iterative methods. In the setting of real Hilbert spaces, strong convergence theorems are proved. Our results improve and extend the corresponding res...
متن کامل