Results 51 to 60 of about 811 (109)

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

Split equality monotone variational inclusions and fixed point problem of set-valued operator

open access: yesActa Universitatis Sapientiae: Mathematica, 2017
In this paper, we are concerned with the split equality problem of finding an element in the zero point set of the sum of two monotone operators and in the common fixed point set of a finite family of quasi-nonexpansive set-valued mappings.
Eslamian Mohammad, Fakhri Ashkan
doaj   +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

An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings

open access: yesFixed Point Theory and Applications, 2011
In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative ...
Qin Xiaolong, Kang Shin, Agarwal Ravi
doaj  

An inertial shrinking projection self-adaptive algorithm for solving split variational inclusion problems and fixed point problems in Banach spaces

open access: yesDemonstratio Mathematica
In this article, we study the split variational inclusion and fixed point problems using Bregman weak relatively nonexpansive mappings in the pp-uniformly convex smooth Banach spaces.
Ngwepe Matlhatsi Dorah   +3 more
doaj   +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

Generalized Yosida inclusion problem involving multi-valued operator with XOR operation

open access: yesDemonstratio Mathematica
In this article, we study a generalized Yosida variational inclusion problem involving multi-valued operator with XOR operation. It is shown that the generalized Yosida variational inclusion problem involving multi-valued operator with XOR operation is ...
Iqbal Javid   +3 more
doaj   +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

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