ITERATIVE METHOD.

fxn+1 − αnSyn,(1.2)for approximating a common element of the set of fixed points of a nonself nonexpan-sive mapping and the set of solutions of the equilibrium problem and obtained a strongconvergence theorem in a real Hilbert space.Recall that a linear bounded operator A is strongly positive if[r]

Then A is called an u0-concave operator.In many papers, the authors studied u0-concave operators and obtained some resultssee 3–5, 8–15. In this paper, we generalize the concept of u0-concave operators, give aconcept of the generalized u0-concave operators, and study the existence and uniqueness[r]

Hindawi Publishing CorporationFixed Point Theory and ApplicationsVolume 2009, Article ID 362191, 21 pagesdoi:10.1155/2009/362191Research ArticleStrong Convergence of an IterativeMethod for Equilibrium Problems andVariational Inequality ProblemsHongYu Li1and HongZhi Li21Department of Mathematics, Tia[r]

Hindawi Publishing CorporationJournal of Inequalities and ApplicationsVolume 2010, Article ID 943275, 25 pagesdoi:10.1155/2010/943275Research ArticleSome Iterative Methods for Solving EquilibriumProblems and Optimization ProblemsHuimin He,1Sanyang Liu,1and Qinwei Fan21Department of Mathematic[r]

8. Su, YF, Shang, MJ, Qin, XL: An iterative method of solution for equilibrium and optimization problems. Nonlinear Anal.69, 2709–2719 (2008). doi:10.1016/j.na.2007.08.0459. Tada, A, Takahashi, W: Weak and strong convergence theorems for a nonexpansive mapping and an equilibriumproblem[r]

RESEARC H Open AccessRegularization and iterative method for generalvariational inequality problem in hilbert spacesYeol JE Cho1and Narin Petrot2** Correspondence: narinp@nu.ac.th2Department of Mathematics,Faculty of Science, NaresuanUniversity, Phitsanulok 65000,ThailandFull list of a[r]

Hindawi Publishing CorporationFixed Point Theory and ApplicationsVolume 2010, Article ID 165098, 18 pagesdoi:10.1155/2010/165098Research ArticleA New Iterative Method for SolvingEquilibrium Problems and Fixed Point Problems forInfinite Family of Nonexpansive MappingsShenghua Wang,1Yeol[r]

x22,thenK’ (x)=x is not sequen-tially continuous from the weak topology to the strong topology.In this article, inspired and motivated by above mentioned results, we introduce anew iterative method for finding a common element of the set of solutions of a gener-alized mixed equilibri[r]

Hindawi Publishing CorporationFixed Point Theory and ApplicationsVolume 2010, Article ID 264628, 13 pagesdoi:10.1155/2010/264628Research ArticleHybrid Viscosity Iterative Method for Fixed Point,Variational Inequality and Equilibrium ProblemsYi-An Chen and Yi-Ping ZhangCollege of Mathem[r]

n} defined by 1.3converges strongly to a fixed point of T under some appropriate conditions on {αn} and {βn}.In 2008, Yao et al. 4 alsomodified Mann’s iterative scheme 1.2 to get a strongconvergence theorem.Let {Ti}Ni1be a finite family of nonexpansive mappings with F :Nn1FTi/ ∅. There[r]

Hindawi Publishing CorporationJournal of Inequalities and ApplicationsVolume 2008, Article ID 420989, 9 pagesdoi:10.1155/2008/420989Research ArticleStrong Convergence of an Iterative Method forInverse Strongly Accretive OperatorsYan HaoSchool of Mathematics, Physics and Information Sci[r]

Hindawi Publishing CorporationFixed Point Theory and ApplicationsVolume 2011, Article ID 392741, 24 pagesdoi:10.1155/2011/392741Research ArticleStrong Convergence of a New Iterative Methodfor Infinite Family of Generalized Equilibrium andFixed-Point Problems of Nonexpansive Mappingsin Hilbert[r]

Hindawi Publishing CorporationFixed Point Theory and ApplicationsVolume 2009, Article ID 531308, 20 pagesdoi:10.1155/2009/531308Research ArticleAn Iterative Method for GeneralizedEquilibrium Problems, Fixed Point Problemsand Variational Inequality ProblemsQing-you Liu,1Wei-you Zeng,2an[r]

This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formattedPDF and full text (HTML) versions will be made available soon.Convergence of the modified Mann's iterative method for asymptoticallykappa-strictly pseudocontractive mappingsFixed Point Theory[r]

is nonexpansive, and T is maximal monotone if and only of for each ρ>0, theresolvent JTρis nonexpansive and defined on the entire space H. Recall that a self-mappingof a closed convex subset K of H is said to bei nonexpansive if fx − fy≤x − y for all x, y ∈ K;ii firmly nonexpansive[r]

This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formattedPDF and full text (HTML) versions will be made available soon.Convergence of the modified Mann's iterative method for asymptoticallykappa-strictly pseudocontractive mappingsFixed Point Theory[r]

Hindawi Publishing CorporationEURASIP Journal on Advances in Signal ProcessingVolume 2010, Article ID 976913, 10 pagesdoi:10.1155/2010/976913Research ArticleA New Method for Least-Squares and Minimax Group-DelayError Design of Allpass Variable Fractional-Delay Digital FiltersCheng-Han Chan,1S[r]

6 G. L. Acedo and H K. Xu, “Iterative methods for strict pseudo-contractions in Hilbert spaces,”Nonlinear A nalysis: Theory, Methods & Applications, vol. 67, no. 7, pp. 2258–2271, 2007.7 Y. J. Cho, X. Qin, and J. I. Kang, “Convergence theorems based on hybrid methods for generaliz[r]

which facilitates considerable treatment of the boundary value problem. The proposedmethod consists simply of writing the problem (Pε) in a matrix form (see the proof ofTheorem 2.1 for the details), and can be easily applied to initial value problems.Our method is proposed to improve the sing[r]

RESEARCH Open AccessBlind recovery of k/n rate convolutional encodersin a noisy environmentMelanie Marazin1,2, Roland Gautier1,2*and Gilles Burel1,2AbstractIn order to enhance the reliability of digital transmissions, error correcting codes are used in every digitalcommunication system. To meet the[r]