## Related Articles

- A New Method to Study Analytic Inequalities. Xiao-Ming Zhang; Yu-Ming Chu // Journal of Inequalities & Applications;2010, Vol. 2010, p1
We present a new method to study analytic inequalities involving n variables. Regarding its applications, we proved some well-known inequalities and improved Carleman's inequality.

- Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities. Noor, Muhammad Aslam; Noor, Khalida Inayat; Al-Said, Eisa // Journal of Applied Mathematics;2012, p1
We use the auxiliary principle technique to suggest and analyze some iterativemethods for solving a new class of variational inequalities, which is called the mixed trifunction variational inequality. The mixed trifunction variational inequality includes the trifunction variational inequalities...

- Strong Convergence Theorems for Maximal Monotone Operators, Fixed-Point Problems, and Equilibrium Problems. Huan-chun Wu; Cao-zong Cheng; De-ning Qu // ISRN Applied Mathematics;2013, p1
We present a new iterative method for finding a common element of the set of fixed points of a nonexpansive mapping, the set of solutions to an equilibrium problem, and the set of zeros of the sum of maximal monotone operators and prove the strong convergence theorems in the Hilbert spaces. We...

- An Interior Point Cutting Plane Method for the Convex Feasibility Problem with Second-Order Cone Inequalities. Oskoorouchi, Mohammad R.; Goffin, Jean-Louis // Mathematics of Operations Research;Feb2005, Vol. 30 Issue 1, p127
The convex feasibility problem in general is a problem of finding a point in a convex set that contains a full dimensional ball and is contained in a compact convex set. We assume that the outer set is described by second-order cone inequalities and propose an analytic center cutting plane...

- A Certain Subclass of Multivalent Analytic Functions Defined by Fractional Calculus Operator. Shenan, Jamal M.; Khammash, Ghazi S. // British Journal of Mathematics & Computer Science;2014, Vol. 4 Issue 3, p432
In this paper we introduce a new subclass of multivalent analytic functions defined by fractional calculus operator. Such results as subordination and superordination properties, convolution properties, inequality properties and other interesting properties of this subclass are proved.

- Modified Relaxed Extragradient Method for a General System of Variational Inequalities and Nonexpansive Mappings in Banach Spaces. Yuanheng Wang; Liu Yang // Abstract & Applied Analysis;2012, p1
The purpose of this paper is to introduce a new modified relaxed extragradient method and study for finding some common solutions for a general system of variational inequalities with inversestronglymonotone mappings and nonexpansive mappings in the framework of real Banach spaces. By using the...

- Numerical-analytical method to determine the stress state of an elastic rectangular plate. Revenko, V. // International Applied Mechanics;Jan2008, Vol. 44 Issue 1, p73
A numerical-analytical method for solving the plane problem of elasticity is proposed. Systems of nonorthogonal functions are used. The method involves the minimization of a quadratic form that is equal to the integral of the sum of squared residuals of the solution and given forces. An explicit...

- New Double Projection Algorithm for Solving Variational Inequalities. Lian Zheng // Journal of Applied Mathematics;2013, p1
We propose a class of new double projection algorithms for solving variational inequality problem, which can be viewed as a framework of the method of Solodov and Svaiter by adopting a class of new hyperplanes. By the separation property of hyperplane, our method is proved to be globally...

- A Hybrid Extragradient Viscosity Approximation Method for Solving Equilibrium Problems and Fixed Point Problems of Infinitely Many Nonexpansive Mappings. Jaiboon, Chaichana; Kumam, Poom // Fixed Point Theory & Applications;2009, Special section p1
We introduce a new hybrid extragradient viscosity approximation method for finding the common element of the set of equilibrium problems, the set of solutions of fixed points of an infinitely many nonexpansive mappings, and the set of solutions of the variational inequality problems for...

- Iterative Algorithms for General Multivalued Variational Inequalities. Yonghong Yao; Noor, Muhammad Aslam; Yeong-Cheng Liou; Shin Min Kang // Abstract & Applied Analysis;2012, p1
We introduce and study some new classes of variational inequalities and the Wiener-Hopf equations. Using essentially the projection technique, we establish the equivalence between these problems. This equivalence is used to suggest and analyze some iterative methods for solving the general...