نتایج جستجو برای: strictly pseudocontractive mapping

تعداد نتایج: 230365  

2016
Suwicha Imnang Suthep Suantai

We present the strong convergence theorems for the viscosity iterative scheme for finding a common element of the solution set of the system of general variational inequalities for two arbitrary nonlinear mappings and the fixed point set of a nonexpansive mapping in real 2uniformly smooth and uniformly convex Banach spaces. Furthermore, we apply our main result with the problem of approximating...

2010
Atid Kangtunyakarn

We introduce a new method for a system of generalized equilibrium problems, system of variational inequality problems, and fixed point problems by using S-mapping generated by a finite family of nonexpansive mappings and real numbers. Then, we prove a strong convergence theorem of the proposed iteration under some control condition. By using our main result, we obtain strong convergence theorem...

2011
Lu-Chuan Ceng Sy-Ming Guu Jen-Chih Yao Jong Kim

We propose a hybrid extragradient method for finding a common element of the solution set of a variational inequality problem, the solution set of a general system of variational inequalities, and the fixed-point set of a strictly pseudocontractive mapping in a real Hilbert space. Our hybrid method is based on the well-known extragradient method, viscosity approximation method, and Mann-type it...

Journal: :iranian journal of science and technology (sciences) 2013
m. akram

generalized resolvent equations; variational inclusions; algorithm; convergence; generalized pseudocontractive mapping

2011
Atid Kangtunyakarn

Correspondence: [email protected] Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok 10520, Thailand Abstract In this article, we introduce a new mapping generated by infinite family of nonexpansive mapping and infinite real numbers. By means of the new mapping, we prove a strong convergence theorem for finding a common element of the se...

2011
LU-CHUAN CENG QAMRUL HASAN ANSARI NGAI-CHING WONG JEN-CHIH YAO

The purpose of this paper is to investigate the problem of finding a common element of the set of fixed points of an asymptotically strict pseudocontractive mapping in the intermediate sense and the set of solutions of a variational inequality problem for a monotone and Lipschitz continuous mapping. We introduce an extragradient-like iterative algorithm that is based on the extragradient-like a...

2009
Xue-song Li Jong Kyu Kim Nan-jing Huang Charles E. Chidume

We study the strong convergence of two kinds of viscosity iteration processes for approximating common fixed points of the pseudocontractive semigroup in uniformly convex Banach spaces with uniformly Gâteaux differential norms. As special cases, we get the strong convergence of the implicit viscosity iteration process for approximating common fixed points of the nonexpansive semigroup in Banach...

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