[PDF] Top 20 Weak Convergence Theorems for a System of Mixed Equilibrium Problems and Nonspreading Mappings in a Hilbert Space

... Let C be a nonempty closed convex subset of a real Hilbert space H. A mapping T of C into itself is said to be nonexpansive if Tx − Ty ≤ x − y for all x, y ∈ C, and a mapping F is said to be firmly ... See full document

... following convergence theorem for approximation of fixed point of a nonexpansive mapping which is also a common solution to a system of generalized mixed equilibrium problems and ... See full document

... point theorems of a *-nonexpansive multi- valued mapping and the strong convergence of its iterates to a fixed point defined on a closed and convex subset of a Hilbert space by using the best ... See full document

... the weak topology to the strong ...the mixed equilibrium problems, the set of fixed point of a k-strict pseudocontraction mapping, and the set of solutions of the variational inequality for an ... See full document

... generalized mixed equilibrium problems. The weak and strong convergence theorems are proved for demi-contractive mappings in real Hilbert ...the convergence ... See full document

... 0, 1. Mann iteration has been extensively investigated for nonexpansive mappings. In an infinite-dimensional Hilbert space, Mann iteration can conclude only weak convergence see 12, 13. ... See full document

... The purpose of this article is under suitable conditions to prove some weak and strong convergence theorems for solving multiple-set split feasibility problem (.) for a κ -asymptotically strictly ... See full document

... equality mixed equilibrium problems in the framework of infinite-dimensional real Hilbert ...and weak convergence theorems are ...equality mixed variational ... See full document

... Zembayashi, “Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications [r] ... See full document

... a nonspreading mapping. Weak and strong convergence theorems of the proposed iterative schemes in Hilbert spaces are proved under some control ... See full document

... of nonspreading type mappings, which is more general than the mappings studied in [] in Hilbert spaces, and proved some weak and strong convergence theorems in real ... See full document

... Numerous problems in physics, optimization, and economics can be reduced to find a solution of ...the equilibrium problem see ...the equilibrium problem and the set of fixed points of a nonexpansive ... See full document

... generalized mixed equilibrium problem, which is more general than many problems such as split feasibility problem, split equality problem, split equilibrium problem, and so ...and weak ... See full document

... For this purpose, in this paper, we first suggest and analyze an implicit extragradient method. It is shown that the net defined by this implicit extragradient method converges strongly to the unique solution of HVIC, A, ... See full document

... an equilibrium problem and the set of fixed points of a nonexpansive mapping in Hilbert ...strong convergence theorems which extend and generalize ... See full document

... hybrid mappings, and stu- died fixed point theorems and weak convergence theorems for such nonlinear map- pings in Hilbert ... See full document

... On the other hand, the split feasibility problem (SFP) in finitely dimensional spaces was first introduced by Censor and Elfving [] for modeling inverse problems which arise from phase retrievals and in medical ... 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

... Theorem . Let K be a nonempty closed and convex subset of a real Hilbert space X. Suppose that T : K → P(K) is an L-Lipschitzian pseudocontractive-type mapping from K into the family of all proximinal ... See full document

... nonexpansive mappings and the set of solutions of the variational inequalities for an inverse-strongly mapping, which solves another variation inequality hγ f (q) − Bq, q − pi ≤ 0, p ∈ ∩ ... See full document