Results 11 to 20 of about 119 (105)

Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces [PDF]

open access: yesFixed Point Theory and Applications, 2011
We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.
Tuyen Truong, Kim Jong
doaj   +2 more sources

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

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   +3 more sources

Strong convergence of a hybrid method for monotone variational inequalities and fixed point problems [PDF]

open access: yesFixed Point Theory and Applications, 2011
In this paper, we suggest a hybrid method for finding a common element of the set of solution of a monotone, Lipschitz-continuous variational inequality problem and the set of common fixed points of an infinite family of nonexpansive mappings.
Liou Yeong-Cheng   +3 more
doaj   +2 more sources

Strong convergence theorem for amenable semigroups of nonexpansive mappings and variational inequalities

open access: yesFixed Point Theory and Applications, 2011
In this paper, using strongly monotone and lipschitzian operator, we introduce a general iterative process for finding a common fixed point of a semigroup of nonexpansive mappings, with respect to strongly left regular sequence of means defined on an ...
Piri Hossein, Badali Ali
doaj   +2 more sources

Systems of general nonlinear set-valued mixed variational inequalities problems in Hilbert spaces

open access: yesFixed Point Theory and Applications, 2011
In this paper, the existing theorems and methods for finding solutions of systems of general nonlinear set-valued mixed variational inequalities problems in Hilbert spaces are studied.
Cho Yeol, Petrot Narin, Agarwal Ravi
doaj   +4 more sources

Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-ϕ-nonexpansive mappings

open access: yesFixed Point Theory and Applications, 2011
We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-ϕ-nonexpansive mapping and in the solution set of an equilibrium problem.
Kim Jong
doaj   +1 more source

Strong convergence theorems for equilibrium problems and fixed point problems: A new iterative method, some comments and applications

open access: yesFixed Point Theory and Applications, 2011
In this paper, we introduce a new approach method to find a common element in the intersection of the set of the solutions of a finite family of equilibrium problems and the set of fixed points of a nonexpansive mapping in a real Hilbert space.
Du Wei-Shih, He Zhenhua
doaj   +2 more sources

Convergence theorem for finite family of lipschitzian demi-contractive semigroups

open access: yesFixed Point Theory and Applications, 2011
Let E be a real Banach space and K be a nonempty, closed, and convex subset of E. Let be a finite family of Lipschitzian demi-contractive semigroups of K, with sequences of bounded measurable functions Li : [0, ∞) → (0, ∞) and bounded ...
Ali Bashir, Ugwunnadi Godwin
doaj   +2 more sources

On singular nonlinear distributional and impulsive initial and boundary value problems [PDF]

open access: yesBoundary Value Problems, 2011
Purpose To derive existence and comparison results for extremal solutions of nonlinear singular distributional initial value problems and boundary value problems.
Heikkilä Seppo
doaj   +2 more sources

A general composite iterative method for generalized mixed equilibrium problems, variational inequality problems and optimization problems

open access: yesJournal of Inequalities and Applications, 2011
In this article, we introduce a new general composite iterative scheme for finding a common element of the set of solutions of a generalized mixed equilibrium problem, the set of fixed points of an infinite family of nonexpansive mappings and the set of ...
Jung Jong Soo
doaj   +2 more sources

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