[PDF] Top 20 Shrinking Projection Method of Common Solutions for Generalized Equilibrium Quasi Nonexpansive Mapping and Relatively Nonexpansive Mapping

... iterative method for finding an element of EP ∩ FS, where A : C → H is an inverse-strongly monotone mapping and then proved a strong convergence ...a common element of the set of solutions of ... See full document

... approximation method for finding a common element of the set of solutions to the problem ...of solutions of an equilibrium problems and the set of fixed points of nonexpansive ... See full document

... the shrinking projection method for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of common solutions ... See full document

... that variational inequalities and mathematical programming problems can be viewed as a special realization of the abstract equilibrium problems. Many authors have proposed some useful methods to solve the EP ... See full document

... the method for solving zero point problems of maximal monotone operators and related topics (see ...brid shrinking projection algorithms for maximal monotone operators, relatively nonex- ... See full document

... hybrid shrinking projection method for finding a common element of the set EP of solutions of a generalized equilibrium problem, the common fixed point set F of finite ... See full document

... a common element of the set of solutions of mixed equilibrium problems, the set of common fixed points for nonexpansive semigroup and the set of solution of quasivariational inclusions ... See full document

... a common fixed point of two countable families of weak relatively nonexpansive mappings which is also a solu- tion to a system of generalized mixed equilibrium problems in a uniformly ... See full document

... monotone mapping and : C ® ℝ be a lower semi-con- tinuous and convex ...asymptotically quasi-j- nonexpansive mapping with the sequence { k (t) n } ⊂ [1, ∞ ) such that k (t) n → 1 as n ® ... See full document

... Recently, many authors considered the problem of finding a common element in the set of fixed points of a nonexpansive mapping and in the set of solutions of the equili- brium problem (1.1) ... See full document

... Although nonexpansive mappings are 0-strict pseudocontractions, iterative methods for k-strict pseudocontractions are far less developed than those for nonexpansive ...than nonexpansive mappings do ... See full document

... of nonexpansive mappings on closed and convex subsets of a Hilbert ...of nonexpansive mappings and fixed points of some of their generalizations have been flourishing areas of research for many ... See full document

... It is our main purpose in this paper to develop algorithms for the split common fixed point for the pseudo-contractive and quasi-nonexpansive mappings. Weak convergence theorem is given. Our results ... See full document

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

... extragradient method for generalized equilibrium problems and fixed point problems of a finite family of nonexpansive mappings,” Nonlinear Analysis: Hybrid Systems, ... See full document

... numerical method, the extragradient method solves numerically the variational inequality VIC, A of finding u ∈ C such that Au, v−u ≥ 0, for all v ∈ ...extragradient method for solving the ... See full document

... Lemma . [] Let E be a smooth, strictly convex, and reflexive Banach space, and let C be a nonempty closed convex subset of E. Let A : C → E ∗ be an α-inverse-strongly mono- tone mapping and f be a bifunction ... See full document

... The organization of this paper is as follows. In Section , we recall the notion of the metric projection, the demiclosedness principle of nonexpansive mappings and a conver- gence lemma. In Section , the ... See full document

... monotone mapping, let A : C → H be a λ-inverse-strongly monotone mapping, and let {S n } ∞ n1 : C → C be a countable family of nonexpansive ... See full document

... Lemma . [] Let E be a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property. Let C be a nonempty closed and convex subset of E. Let T : C → C be a closed asymptotically ... See full document