Results 81 to 90 of about 811 (109)

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

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  

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  

Convergence results for controlled contractions and applications to a system of Volterra integral equations

open access: yesApplied Mathematics in Science and Engineering
This work presents the concept of controlled dislocated metric spaces, and the Banach contraction principle in these spaces is examined. Next, we provide extensive examples of numerical convergence of fixed points to demonstrate the practical ...
Lifang Guo   +5 more
doaj   +1 more source

On singular nonlinear distributional and impulsive initial and boundary value problems

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  

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  

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  

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  

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

open access: yesFixed Point Theory and Applications, 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 ...
Saewan Siwaporn, Kumam Poom
doaj  

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  

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