Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense

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 ...

Weak convergence of algorithms for asymptotically strict pseudocontractions in the intermediate sense and equilibrium problems

*Correspondence: [email protected] 2Department of Mathematics Education, Kyungnam University, Masan, 631-701, Korea Full list of author information is available at the end of the article Abstract In this paper, equilibrium problems and fixed-point problems based on an iterative method are investigated. It is proved that the sequence generated in the purposed iterative process weakly conve...

Convergence 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...

Strong Convergence Theorems for an Infinite Family of Equilibrium Problems and Fixed Point Problems for an Infinite Family of Asymptotically Strict Pseudocontractions

Some results on fixed points of asymptotically strict quasi-φ-pseudocontractions in the intermediate sense

*Correspondence: [email protected] 2College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, 650221, China Full list of author information is available at the end of the article Abstract In this paper, a new nonlinear mapping, asymptotically strict quasi-φ-pseudocontraction in the intermediate sense, is introduced. Projection algorithms are considered for ...