Results 11 to 20 of about 251 (46)

New iterative scheme with strict pseudo-contractions and multivalued nonexpansive mappings for fixed point problems and variational inequality problems

open access: yesFixed Point Theory and Applications, 2013
In this paper, we introduce an iterative scheme for finding a common element of the sets of fixed points for multivalued nonexpansive mappings, strict pseudo-contractive mappings and the set of solutions of an equilibrium problem for a pseudomonotone ...
J. Vahidi, A. Latif, M. Eslamian
semanticscholar   +2 more sources

The convergence analysis of the projection methods for a system of generalized relaxed cocoercive variational inequalities in Hilbert spaces

open access: yesFixed Point Theory and Applications, 2013
In this paper, the approximate solvability for a system of generalized relaxed cocoercive nonlinear variational inequalities in Hilbert spaces is studied, based on the convergence of the projection methods.
Yifen Ke, Changfeng Ma
semanticscholar   +2 more sources

MODIFIED POPOV'S SUBGRADIENT EXTRAGRADIENT ALGORITHM WITH INERTIAL TECHNIQUE FOR EQUILIBRIUM PROBLEMS AND ITS APPLICATIONS

open access: yes, 2020
In this paper, we are introducing a new algorithm that is based on a subgradient and an inertial scheme using an explicit method for step size evaluation to solve pseudomonotone equilibrium problems.
N. Wairojjana   +3 more
semanticscholar   +1 more source

Existence and approximation of solutions for generalized extended nonlinear variational inequalities

open access: yesJournal of Inequalities and Applications, 2013
In this paper, we consider a new class of generalized extended nonlinear quasi-variational inequality problems involving set-valued relaxed monotone operators and establish its equivalence with the fixed point problem.
B. Thakur, M. Postolache
semanticscholar   +1 more source

The Convex Relaxation Method on Deconvolution Model withMultiplicative Noise

open access: yes, 2013
In this paper, we consider variational approaches to handle the multiplica- tive noise removal and deblurring problem. Based on rather reasonable physical blurring-noisy assumptions, we derive a new variational model for this issue.
Yu-Mei Huang, M. Ng, T. Zeng
semanticscholar   +1 more source

Strong convergence theorems for equilibrium problems involving a family of nonexpansive mappings

open access: yesFixed Point Theory and Applications, 2014
We give new hybrid variants of extragradient methods for finding a common solution of an equilibrium problem and a family of nonexpansive mappings. We present a scheme that combines the idea of an extragradient method and a successive iteration method as
D. D. Thanh
semanticscholar   +1 more source

Verification of functional a posteriori error estimates for obstacle problem in 1D [PDF]

open access: yes, 2008
We verify functional a posteriori error estimate for obstacle problem proposed by Repin. Simplification into 1D allows for the construction of a nonlinear benchmark for which an exact solution of the obstacle problem can be derived.
Braess, Dietrich   +2 more
core   +10 more sources

Existence and approximation of solutions for system of generalized mixed variational inequalities

open access: yesFixed Point Theory and Applications, 2013
The aim of this work is to study a system of generalized mixed variational inequalities, existence and approximation of its solution using the resolvent operator technique.
B. Thakur, M. Khan, S. Kang
semanticscholar   +1 more source

On the Newton method for set-valued maps [PDF]

open access: yes, 2012
The Newton method is one of the most powerful tools used to solve systems of nonlinear equations. Its set-valued generalization, considered in this work, allows one to solve also nonlinear equations with geometric constraints and systems of ...
Dias, Susana, Smirnov, Georgi
core   +1 more source

Implicit iterative method for approximating a common solution of split equilibrium problem and fixed point problem for a nonexpansive semigroup

open access: yesArab Journal of Mathematical Sciences, 2014
In this paper, we introduce and study an implicit iterative method to approximate a common solution of split equilibrium problem and fixed point problem for a nonexpansive semigroup in real Hilbert spaces. Further, we prove that the nets generated by the
K.R. Kazmi, S.H. Rizvi
doaj   +1 more source

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