14 research outputs found
Viscosity approximation method with Meir-Keeler contractions for common zero of accretive operators in Banach spaces
Get PDFModified Halpern-type iterative methods for relatively nonexpansive mappings and maximal monotone operators in Banach spaces
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Approximating common fixed points of averaged self-mappings with applications to the split feasibility problem and maximal monotone operators in Hilbert spaces
Get PDFStrong convergence theorems for quasi-nonexpansive mappings and maximal monotone operators in Hilbert spaces
Get PDFIterative Methods for Equilibrium Problems and Monotone Inclusion Problems in Hilbert Spaces
Get PDFWe introduce a new iterative method for finding a common element of the set of solutions of an equilibrium problem and the set of zeros of the sum of maximal monotone operators, and we obtain strong convergence theorems in Hilbert spaces. We also apply our results to the variational inequality and convex minimization problems. Our results extend and improve the recent result of Takahashi et al. (2012)
Hybrid Algorithms of Nonexpansive Semigroups for Variational Inequalities
Get PDFTwo hybrid algorithms for the variational inequalities over the common fixed points set of nonexpansive semigroups are presented. Strong convergence results of these two hybrid algorithms have been obtained in Hilbert spaces. The results improve and extend some corresponding results in the literature
