[PDF] Top 20 Hybrid Projection Algorithms for Generalized Equilibrium Problems and Strictly Pseudocontractive Mappings

... the generalized equilibrium problem 1.6 and a strictly pseudocontractive mapping based on the shrinking projection algorithm which was first introduced by Takahashi et ...the ... See full document

... important problems have reformulations which require finding solutions of clas- sical variational inequalities, for instance, image recovery, inverse problems, transporta- tion problems, fixed point ... See full document

... Theorem 2.10. (See [17]) Let C be a nonempty, bounded, closed, and convex subset of a real Hilbert space H, and let : C ® ℝ be a lower semicontinuous and convex func- tional. Let T : C ® CB(H) be H -Lipschitz continuous ... See full document

... of equilibrium problem in Hilbert spaces, for instance, [2, 3, ...of strictly pseudocontractive mapping and two sets of generalized equilibrium problems by using the ... See full document

... new hybrid iterative scheme called a shrinking projection method for nonexpansive ...of projection methods that the strong convergence of iterative sequences is guaranteed without any compact ... See full document

... by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi- φ -nonexpansive ...for equilibrium and fixed point ... See full document

... a hybrid method and prove a strong convergence theorem of a common element in the set of fixed points of a finite family of closed quasi-Bregman strictly pseudocontractive mappings and common ... See full document

... these hybrid proximal-type algorithms are established; that is, under appropriate conditions, the sequences generated by these various algorithms converge strongly to the same point in EP ∩ FS ∩ T −1 ... See full document

... and strictly convex Banach space, which also enjoys the Kadec-Klee property, the author ob- tained a strong convergence theorem; for more details, see [] and the references ...the projection algorithm for ... See full document

... point problems of a (relatively) nonexpan- sive mapping based on hybrid projection methods; for more details, see [–] and the references ...bifunction equilibrium problem and a fixed point ... See full document

... the problems (.), (.) and (.) based on hybrid pro- jection methods; see, for example, [–] and the references ...element problems of the generalized equilibrium problem ... See full document

... nonexpansive mappings or strictly pseudocontractive mappings; see [–] and the references ...the hybrid iterative method for the nonexpansive mapping to solve a variational ... See full document

... shrinking hybrid projection method for finding a common element of the set of fixed points of strictly pseudocontractive mappings, the set of common solutions of the variational ... See full document

... The generalized mixed equilibrium problems include fixed-point problems, optimiza- tion problems, variational inequality problems, Nash equilibrium problems, and ... See full document

... Recently, Matsushita and Takahashi [] first investigated fixed point problems of rela- tively nonexpansive mappings based on hybrid projection methods. A strong convergence theorem was ... See full document

... point problems of asymptotically quasi-φ- nonexpansive mappings and asymptotically quasi-φ-nonexpansive mappings in the in- termediate sense based on projection algorithms; for more ... See full document

... In this paper, we investigate fixed point problems of a continuous pseudo-contraction based on a viscosity iterative scheme. Strong convergence theorems are established in a reflexive Banach space which also enjoys ... See full document

... inclusion problems have been extended and generalized to study a large variety of problems arising in image recovery, economics, and signal pro- cessing; for more details, see ...the ... See full document

... Corollary . Let E be a real reflexive, strictly convex Banach space with the uniformly Gâteaux differentiable norm. Let C be nonempty closed and convex subset of E. Let A : C → E ∗ a single valued, monotone and ... See full document

... Theorem . Let E be a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property and let C be a nonempty closed and convex subset of E. Let f be a bifunction from C × C to R ... See full document