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The aim of this paper is to obtain fixed point theorems for hybrid pairs of single valued and multivalued mappings satisfying a contractive condition of integral type in general settings. Several well...
New integral inequality on time scales
Integral Inequalities Dynamic Equation and Inequalities
2010/9/25
In this paper we establish some new integral inequalities related to a certain inequality arising in the theory of dynamic equations on time scales.
On two inequalities similar to Hardy-Hilbert's integral inequality
Hardy-Hilbert inequality weight function
2010/9/20
Two new inequalities similar to Hardy- Hilbert’s inequality are given.
On Hilbert's integral inequality and applications
Hilbert’s integral inequality weight function
2010/9/10
As application, some sharp results of Widder’s inequality and Hardy-Littlewood’s inequality are obtained.
In this short note, we establish a new form of the inequality of Gr¨uss type for functions whose first and second derivatives are absolutely continuous and third derivative is bounded both above and b...
In this paper, employing the Ky Fan section theorem,we give a class of Ky Fan inequality for set-valued maps,usually it takes Ky Fan inequality ,vector equilibrium problems as its special cases.
Some modified extragradient approximation methods for variational inequality problems and equilibrium problems of nonexpansive mappings
Nonexpansive mappings Monotone L-Lipschitz continuous mapping
2010/9/13
In this paper, we introduce a modified extragradient approximation method for finding the common element of the set of fixed points of nonexpansive mapping, the set of solutions of an equilibrium prob...
Application of Holder inequality in generalised convolutions for functions with respect to k-symmetric points
Analytic functions k-symmetric points
2010/9/14
The two inequalities of the functions belonging to these two classes are the starlike and convex functions with respect to k-symmetric points, respectively. Some interesting properties of generalisati...
On a reverse of Hardy-Hilbert's integral inequality via Minkowski's inequality
Hardy-Hilbert's inequality Minkowski's inequality
2010/9/14
The reverse of the Hardy-Hilbrt's Integral inequality via Minkowski'sinequality in its general form is given. As an application, a special case is deduced.
A generalization of Hardy-Hilbert's integral inequality and its reverse
Hardy-Hilbert's integral inequality reverse
2010/9/10
New generalizations of Hardy-Hilbert's integral inequality and its reverse via new methods are established.
Determining feasible solution in imprecise linear inequality systems
interval linear inequality degree holding inequality true
2010/9/13
In this paper, we investigate imprecise linear inequality problems when there is no solution. In general, inconsistency of ordinary linear inequality model can be overcome by changes in the coefficien...
For x > 0, let Γ(x) be the Euler’s gamma function, and ψ(x) = Γ(x)/Γ(x) the psi function. In this paper, we prove that |ψ(n)(b) −ψ(n)(a)| < (b − L(a, b))|ψ(n+1)(b)| + (L(a, b) − a)|...
In this paper we establish some inequalities by using a fairly elementary analysis. As corollary we obtain the well known Hadamard’s inequality.
A descent algorithm for solving variational inequality problems
Variational inequality problem Descent algorithms
2010/9/14
Variational inequality problem can be formulated as a differentiable optimization problem [3]. We propose a descent method to solve the equivalent optimization problem inspired by the approach of Fuku...
A Multiple Hardy-Hilbert Integral Inequality with the Best Constant Factor
Multiple Hardy-Hilbert integral inequality the $Gamma$-function Best constant factor
2008/7/3
A Multiple Hardy-Hilbert Integral Inequality with the Best Constant Factor.