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Suppose that C is a nonempty closed convex subset of a real uniformly convex Banach space X. Let T : C → C be an asymptotically quasi-nonexpansive mapping. In this paper, we introduce the three-step iterative scheme for such map with error members. Moreover , we prove that if T is uniformly L-Lipschitzian and completely continuous, then the iterative scheme… (More)

Recommended by Pavel Drabek We construct implicit random iteration process with errors for a common random fixed point of a finite family of asymptotically quasi-nonexpansive random operators in uniformly convex Banach spaces. The results presented in this paper extend and improve the corresponding results of Beg and Abbas in 2006 and many others.

Keywords: Mixed quasi-variational-like inequality problem Auxiliary principle technique Cocoercive mapping Strongly monotone mapping a b s t r a c t In this paper, some existence theorems for the mixed quasi-variational-like inequalities problem in a reflexive Banach space are established. The auxiliary principle technique is used to suggest a novel and… (More)

Viscosity approximation methods for nonexpansive nonself-mappings are studied. Let C be a nonempty closed convex subset of Hilbert space H, P a metric projection of H onto C and let T be a nonexpansive nonself-mapping from C into H. For a contraction f on C and {t n } ⊆ (0,1), let x n be the unique fixed point of the contraction x → t n f (x) + (1 − t… (More)

In this paper, the existence theorems of solutions for generalized weak vector equilibrium problems are developed in real reflexive Banach spaces. Based on recession method and scalarization technique, we derive a characterization of nonemptiness and boundedness of solution set for generalized weak vector equilibrium problems. Moreover, Painlevé-Kuratowski… (More)

- Rabian Wangkeeree, Thanatporn Bantaojai
- 2015

We introduce the notions of Levitin-Polyak(LP) well-posedness and LP well-posedness in the generalized sense for the Lexicographic vector equilibrium problems. Then, we establish some sufficient conditions for Lexicographic vector equilibrium problems to be LP well-posedness at the reference point. Numerous examples are provided to explain that all the… (More)