Results 31 to 40 of about 775 (68)

Split hierarchical variational inequality problems and related problems

open access: yes, 2014
The main objective of this paper is to introduce a split hierarchical variational inequality problem. Several related problems are also considered. We propose an iterative method for finding a solution of our problem. The weak convergence of the sequence
Q. Ansari, Nimit Nimana, N. Petrot
semanticscholar   +1 more source

Convergence theorem for common fixed points of a finite family of multi-valued Bregman relatively nonexpansive mappings

open access: yes, 2014
In this paper, it is our purpose to introduce an iterative process for the approximation of a common fixed point of a finite family of multi-valued Bregman relatively nonexpansive mappings.
N. Shahzad, H. Zegeye
semanticscholar   +1 more source

Strong convergence of a relaxed CQ algorithm for the split feasibility problem

open access: yes, 2013
The split feasibility problem (SFP) is finding a point in a given closed convex subset of a Hilbert space such that its image under a bounded linear operator belongs to a given closed convex subset of another Hilbert space.
Songnian He, Ziyi Zhao
semanticscholar   +1 more source

Variant extragradient-type method for monotone variational inequalities

open access: yes, 2013
Korpelevich’s extragradient method has been studied and extended extensively due to its applicability to the whole class of monotone variational inequalities.
Yonghong Yao, M. Postolache, Y. Liou
semanticscholar   +1 more source

On the viscosity rule for common fixed points of two nonexpansive mappings in Hilbert spaces

open access: yes, 2017
In this paper, we introduce, for the first time, the viscosity rules for common fixed points of two nonexpansive mappings in Hilbert spaces. The strong convergence of this technique is proved under certain assumptions imposed on the sequence of ...
S. Naqvi, Muhammad Saqib Khan
semanticscholar   +1 more source

Adaptively relaxed algorithms for solving the split feasibility problem with a new step size

open access: yes, 2014
In the present paper, we propose several kinds of adaptively relaxed iterative algorithms with a new step size for solving the split feasibility problem in real Hilbert spaces.
Haiyun Zhou, Peiyuan Wang
semanticscholar   +1 more source

Strong convergence theorem for quasi-Bregman strictly pseudocontractive mappings and equilibrium problems in Banach spaces

open access: yes, 2014
In this paper, we introduce a new iterative scheme by 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 ...
G. Ugwunnadi   +3 more
semanticscholar   +1 more source

Nonlinear algorithms approach to split common solution problems

open access: yes, 2012
In this paper, we introduce some new iterative algorithms for the split common solution problems for equilibrium problems and fixed point problems of nonlinear mappings. Some examples illustrating our results are also given.MSC:47J25, 47H09, 65K10.
Zhenhua He, Wei-Shih Du
semanticscholar   +1 more source

Iterative algorithms for common elements in fixed point sets and zero point sets with applications

open access: yes, 2012
In this study, Mann-type iterative process is considered for finding a common element in the fixed point set of strict pseudocontractions and in the zero point set of the operator which is the sum of inverse strongly- monotone operators and maximal ...
Mingliang Zhang
semanticscholar   +1 more source

The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-Ï•-nonexpansive mappings

open access: yes, 2011
In this article, we introduce a new hybrid projection iterative scheme based on the shrinking projection method for finding a common element of the set of solutions of the generalized mixed equilibrium problems and the set of common fixed points for a ...
S. Saewan, Poom Kumam
semanticscholar   +1 more source

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