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In this paper, we study a regularization method for ill-posed mixed variational inequalities with non-monotone perturbations in Banach spaces. The convergence and convergence rates of regularized solutions are...
Without the strong monotonicity assumption of the mapping, we provide a regularization method for general variational inequality problem, when its solution set is related to a solution set of an inverse strong...
In this paper, some new nonlinear integral inequalities are established, which provide a handy tool for analyzing the global existence and boundedness of solutions of differential and integral equations. The e...
In this paper, we establish the weak lower semicontinuity of variational functionals with variable growth in variable exponent Sobolev spaces. The weak lower semicontinuity is interesting by itself and can be ...
We give elementary proofs of two theorems concerning bounds on the maximum argument of the eigenvalues of a product of two unitary matrices--one by Childs et al. [J. Mod. Phys. 47, 155 (2000)] and the other one b...
In this paper, the Hyers-Ulam stability of the Pexider functional equation
Recently, we introduced a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus such as J X , p (t). In thi...
The article deals with functional differential inequalities generated by the Cauchy problem for nonlinear first-order partial functional differential equations. The unknown function is the functional variable ...
This article presents an investigation of asymptotic properties of a stochastic ratio-dependent predator-prey model under regime switching. Both the white and color noises are taken into account in our model. ...
In this article, we characterize the pairs (u, v) of positive measurable functions such that T maps the weighted amalgam
in (L
...
In this paper, we extend some old and give some new refinements of the Jensen-Steffensen inequality. Further, we investigate the log-convexity and the exponential convexity of functionals defined via these ine...
In this article, a new nonlinear impulsive delay differential inequality is established, which can be applied in the dynamical analysis of nonlinear systems to improve many extant results. Using the inequality...
This article aims to discuss inequalities involving unitarily invariant norms. We obtain a refinement of the inequality shown by Zhan. Meanwhile, we give an improvement of the inequality presented by Bhatia an...
In this article, some inequalities on convolution equations are presented firstly. The mean square stability of the zero solution of the impulsive stochastic Volterra equation is studied by using obtained ineq...
In this paper, we consider a class of impulsive difference equations with distributed delays. By establishing an impulsive delay difference inequality and using the properties of "ρ-cone" and eigenspace of the sp...
In the present paper we establish some new Opial-type inequalities involving higher-order partial derivatives. Our results in special cases yield some of the recent results on Opial's inequality and also provi...
Lutwak proposed the notion of L p -geominimal surface area according to the L p -mixed volume. In this article, associated with the L ...
We study an inequality suggested by Littlewood, our result refines a result of Bennett. 2000 Mathematics Subject Classification. Primary 26D15.
In this article, we consider the numerical method for solving the system of inequalities under the order induced by a symmetric cone with the function involved being monotone. Based on a perturbed smoothing fu...
In this article, we define a tangential property which can be used not only for single-valued mappings but also for multi-valued mappings, and used it in the prove for the existence of a common fixed point the...
It is proved that any two-dimensional normed space is isometrically isomorphic to a generalized Day-James space ℓ ψ -ℓ φ , introduced by W. Nils...
We prove some weighted Hardy type inequalities associated with a class of nonisotropic Greiner-type vector fields on anisotropic Heisenberg groups. As an application, we get some new Hardy type inequalities on...
We deal with nonnegative distributional supersolutions for a class of linear elliptic equations involving inverse-square potentials and logarithmic weights. We prove sharp nonexistence results.
On utilizing the spectral representation of self-adjoint operators in Hilbert spaces, some inequalities for the composite operator
Let
be a doubly infinite sequence of identically distributed and
-Algebras
We give an analogue of the Bessel inequality and we state a simple formulation of the Grüss type inequality in inner product
-modules, w...
-Valent Functions Associated by the Linear Operator
The purpose of this paper is to introduce two novel subclasses
and
Let
, let
be a continuous, nonnegative, and increasing func...
A recent refinement of the classical discrete Jensen inequality is given by Horváth and Pečarić. In this paper, the corresponding weighted mixed symmetric means and Cauchy-type means are defined. We investigat...
Let us introduce the Sobolev-type inner product
, where
and...
We discuss strong law of large numbers and complete convergence for sums of uniformly bounded negatively associate (NA) random variables (RVs). We extend and generalize some recent results. As corollaries, we ...
Gavrea and Ivan (2010) obtained an inequality for a continuous linear functional which annihilates all polynomials of degree at most
fo...
We show that there exit E-J generalized Hausdorff matrices and unbounded sequences
such that each matrix has convergence domain
We derive some optimal convex combination bounds related to Seiffert's mean. We find the greatest values
,
...
A new Kantorovich type inequality for Hermite matrices is proposed in this paper. It holds for the invertible Hermite matrices and provides refinements of the classical results. Elementary methods suffice to p...
The aim of the present paper is to establish some fractional
-integral inequalities on the specific time scale,
...
Spaces Defined by Sequences of Orlicz Functions
We introduce new sequence space
defined by combining an Orlicz function, seminorms, and
...
Criteria for nonsquareness and locally uniform nonsquareness of Orlicz-Bochner function spaces equipped with Luxemburg norm are given. We also prove that, in Orlicz-Bochner function spaces generated by locally...
-Normed Space
The aim of this paper is to introduce and study some new double sequence spaces with respect to an Orlicz function, and also some properties of the resulting sequence spaces were examined.
The relation between Riesz potential and heat kernel on the Heisenberg group is studied. Moreover, the Hardy-Littlewood-Sobolev inequality is established.
We use the hybrid steepest descent methods for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a strict pseudocontraction mapping in the setting of rea...
We prove two normality criteria for families of some functions concerning Lahiri's type, the results generalize those given by Charak and Rieppo, Xu and Cao. As applications, we study a problem related to R. B...
We show that the main results by S. Simić are special cases of results published many years earlier by J. E. Pečarić et al. (1992).
We investigate the growth of solutions of
, where
and
-Random Stability of an ACQ Functional Equation
We prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation:
in complete latticetic rando...
In the paper titled as "Jackson-type inequality on the sphere" (2004), Ditzian introduced a spherical nonconvolution operator
, which pl...
This paper studies the stability of the solution
for a class of quasilinear implicit dynamic equations on time scales of the form
A class of small-deviation theorems for the relative entropy densities of arbitrary random field on the generalized Bethe tree are discussed by comparing the arbitrary measure
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