Editorial
Journal of Inequalities and Applications 2011 2010:747463
Published on: 1 March 2011
Editorial
Journal of Inequalities and Applications 2011 2010:747463
Published on: 1 March 2011
Research Article
The purpose of this paper is to investigate the problem of finding a common element of the set of solutions for mixed equilibrium problems, the set of solutions of the variational inclusions with set-valued ma...
Journal of Inequalities and Applications 2010 2010:370197
Published on: 31 May 2010
Research Article
Motivated and inspired by the recent works on implicit iteration methods, we prove necessary and sufficient conditions for strong convergence of the eventually implicit iteration methods with errors to a commo...
Journal of Inequalities and Applications 2010 2010:820535
Published on: 25 March 2010
Research Article
We introduce nondifferentiable multiobjective programming problems involving the support function of a compact convex set and linear functions. The concept of (properly) efficient solutions are presented. We f...
Journal of Inequalities and Applications 2010 2010:930457
Published on: 25 March 2010
Research Article
In 1994, Lavoie et al. have succeeded in artificially constructing a formula consisting of twenty three interesting results, except for five cases, closely related to the classical Dixon's theorem on the sum o...
Journal of Inequalities and Applications 2010 2010:589618
Published on: 18 March 2010
Research Article
We study nonsmooth multiobjective programming problems involving locally Lipschitz functions and support functions. Two types of Karush-Kuhn-Tucker optimality conditions with support functions are introduced. ...
Journal of Inequalities and Applications 2010 2010:939537
Published on: 16 March 2010
Research Article
We consider a class of nondifferentiable multiobjective programs with inequality and equality constraints in which each component of the objective function contains a term involving the support function of a c...
Journal of Inequalities and Applications 2010 2010:172059
Published on: 16 March 2010
Research Article
We investigate the nontrivial solutions for a class of the systems of the superquadratic nonlinear wave equations with Dirichlet boundary condition and periodic condition with a superquadratic nonlinear terms ...
Journal of Inequalities and Applications 2010 2010:850602
Published on: 15 March 2010
Research Article
Cădariu and Radu applied the fixed point theorem to prove the stability theorem of Cauchy and Jensen functional equations. In this paper, we prove the generalized Hyers-Ulam stability via the fixed point metho...
Journal of Inequalities and Applications 2010 2010:635720
Published on: 1 March 2010
Research Article
The purpose of this paper is to present a regularization variant of the inertial proximal point algorithm for finding a common element of the set of solutions for a variational inequality problem involving a h...
Journal of Inequalities and Applications 2010 2010:451916
Published on: 22 February 2010
Research Article
We introduce a general iterative method for finding the solution of the variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert space. We prove that the sequence conver...
Journal of Inequalities and Applications 2010 2010:264052
Published on: 21 February 2010
Research Article
The purpose of this paper is to introduce an iterative method for finding solutions of a general system of variational inclusions with inverse-strongly accretive mappings. Strong convergence theorems are estab...
Journal of Inequalities and Applications 2010 2010:916806
Published on: 21 February 2010
Research Article
The purpose of this work is to introduce an iterative method for finding a common element of a solution set of a generalized equilibrium problem, of a solution set solutions of a variational inequality problem...
Journal of Inequalities and Applications 2010 2010:189036
Published on: 21 February 2010
Research Article
We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations. We construct finite element spaces on which we develop f...
Journal of Inequalities and Applications 2010 2010:895187
Published on: 21 February 2010
Research Article
We introduce a new iterative scheme with a countable family of nonexpansive mappings for the variational inequality problems in Hilbert spaces and prove some strong convergence theorems for the proposed schemes.
Journal of Inequalities and Applications 2010 2010:687374
Published on: 21 February 2010
Research Article
We deal with the approximate controllability for the nonlinear functional differential equation governed by the variational inequality in Hilbert spaces and present a general theorems under which previous resu...
Journal of Inequalities and Applications 2010 2010:768469
Published on: 16 February 2010
Research Article
Using the idea of Tikhonov's regularization, we present properties of the approximating curve for the split feasibility problem (SFP) and obtain the minimum-norm solution of SFP as the strong limit of the appr...
Journal of Inequalities and Applications 2010 2010:102085
Published on: 14 February 2010
Research Article
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation
Journal of Inequalities and Applications 2010 2010:754210
Published on: 14 February 2010
Research Article
We investigate the general solution of the quadratic functional equation , in the class of all functions between quasi-
Journal of Inequalities and Applications 2010 2010:184542
Published on: 14 February 2010
Research Article
We deal with the well-posedness for solutions of nonlinear integrodifferential equations of second-order in Hilbert spaces by converting the problem into the contraction mapping principle with more general con...
Journal of Inequalities and Applications 2010 2010:280463
Published on: 14 February 2010
Research Article
We apply an existence theorem of variational inclusion problem on metric spaces to study optimization problems, set-valued vector saddle point problems, bilevel problems, and mathematical programs with equilib...
Journal of Inequalities and Applications 2010 2010:306403
Published on: 14 February 2010
Research Article
We consider a hybrid projection algorithm basing on the shrinking projection method for two families of relatively weak quasi-nonexpansive mappings. We establish strong convergence theorems for approximating t...
Journal of Inequalities and Applications 2010 2010:724851
Published on: 14 February 2010
Research Article
We introduce a new iterative scheme for finding the common element of the set of solutions of the generalized equilibrium problems, the set of fixed points of an infinite family of nonexpansive mappings, and t...
Journal of Inequalities and Applications 2010 2010:728028
Published on: 14 February 2010
Research Article
The purpose of this paper is to consider the weak convergence of an iterative sequence for finding a common element in the set of solutions of generalized equilibrium problems, in the set of solutions of class...
Journal of Inequalities and Applications 2010 2010:827082
Published on: 2 February 2010
Research Article
This paper is concerned with the problem of delay-dependent stability analysis for discrete-time systems with interval-like time-varying delays. The problem is solved by applying a novel Lyapunov functional, a...
Journal of Inequalities and Applications 2010 2010:201459
Published on: 2 February 2010
Research Article
We obtain the generalized Hyers-Ulam stability of the Cauchy-Jensen functional equation .
Journal of Inequalities and Applications 2010 2010:151547
Published on: 2 February 2010
Research Article
We introduce two iterative sequence for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a countable family of strict pseudocontractions in Hilbert Spac...
Journal of Inequalities and Applications 2010 2010:474813
Published on: 2 February 2010
Research Article
We prove some existence results of solutions for a new class of generalized bi-quasivariational inequalities (GBQVI) for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators defined...
Journal of Inequalities and Applications 2010 2010:237191
Published on: 1 February 2010
Research Article
For , with , the generalized Muirhead mean
Journal of Inequalities and Applications 2010 2010:295620
Published on: 28 January 2010
Research Article
We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations: a...
Journal of Inequalities and Applications 2010 2010:897123
Published on: 21 January 2010
Research Article
We consider an iterative scheme for approximating the common fixed points of two asymptotically quasi-nonexpansive mappings in the intermediate sense in Banach spaces. The present results improve and extend so...
Journal of Inequalities and Applications 2010 2010:934692
Published on: 21 January 2010
Research Article
The purpose of this paper is to introduce an iterative algorithm for finding a solution of quadratic minimization problem in the set of fixed points of a nonexpansive mapping and to prove a strong convergence ...
Journal of Inequalities and Applications 2010 2010:717341
Published on: 17 January 2010
Research Article
We use the Wiener-Hopf equations and the Yosida approximation notions to prove the existence theorem of a system of nonlinear mixed implicit equilibrium problems (SMIE) in Hilbert spaces. The algorithm for fin...
Journal of Inequalities and Applications 2010 2010:437976
Published on: 17 January 2010
Research Article
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation:
Journal of Inequalities and Applications 2010 2010:253040
Published on: 12 January 2010
Research Article
The purpose of this paper is to use the modified block iterative method to propose an algorithm for solving the convex feasibility problems for an infinite family of quasi-
Journal of Inequalities and Applications 2010 2010:869684
Published on: 12 January 2010
Research Article
We consider viscosity approximation methods with demi-continuous strong pseudo-contractions for a non-expansive semigroup. Strong convergence theorems of the purposed iterative process are established in the f...
Journal of Inequalities and Applications 2010 2010:645498
Published on: 12 January 2010
Research Article
We introduce a new composite iterative scheme by the viscosity approximation method for nonexpansive mappings and monotone mappings in a Hilbert space. It is proved that the sequence generated by the iterative...
Journal of Inequalities and Applications 2010 2010:251761
Published on: 12 January 2010
Research Article
A convex semidefinite optimization problem with a conic constraint is considered. We formulate a Wolfe-type dual problem for the problem for its
Journal of Inequalities and Applications 2010 2010:363012
Published on: 12 January 2010
Research Article
We obtain the superstability of the Pexiderized multiplicative functional equation and investigate the stability of this equation in th...
Journal of Inequalities and Applications 2010 2010:486325
Published on: 12 January 2010
Research Article
We introduce and study a class of -generalized vector variational-like inequalities and a class of ...
Journal of Inequalities and Applications 2010 2010:968271
Published on: 12 January 2010
Research Article
The purpose of this paper is to prove a strong convergence theorem for a finite family of uniformly -Lipschitzian mappings in Banach spa...
Journal of Inequalities and Applications 2010 2010:801961
Published on: 5 January 2010
Research Article
We estimate Lyapunov inequalities for a single equation, a cycled system and a coupled system of one-dimensional -Laplacian problems wit...
Journal of Inequalities and Applications 2009 2010:865096
Published on: 2 December 2009
Research Article
We solve the inhomogeneous differential equation of the form , where
Journal of Inequalities and Applications 2009 2010:793197
Published on: 25 November 2009