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In this article, we consider a class of parametric generalized vector quasi-variational-like inequality problem (for short, (PGVQVLIP)) in Hausdorff topological vector spaces, where the constraint set K and a set...
Exploring the stabilizability concept, recently introduced by Raïssouli, we give an approach for obtaining refinements of mean-inequalities in a general point of view. Our theoretical study will be illustrated...
We give in this article the maximal and minimal ranks of the matrix expression A-B1V1C1-B2V2C2-B3V3C3-B4V4C4 with respect to V1, V2, V3, and V4. As applications, we derive the extremal ranks of the generalized Sc...
The aim of this article is to obtain criteria of boundedness and compactness for a wide class of matrix operators from one weighted l p,v space of sequences to another weighted
Hardy's class of functions for the Ramanujan interpolation formula and Ramanujan-Hardy master theorem is extended to a wider domain of applicability and the extension is illustrated by examples.
Let {X
n
, n ≥ 1} be a strictly stationary ρ--mixing sequence of positive random variables with EX1 = μ > 0 and Var(X1) = σ2 < ∞. Denote
...
In this article, applying moment inequality of negatively dependent (ND) random variables which obtained by Asadian et al., the complete convergence theorem for weighted sums of arrays of rowwise ND random var...
In this article, we prove the existence of solutions for the general variational inequality ϕ(x, y) ≥ f(x) - f(y) and Minty type theorem by using the generalized KKM theorem in topological spaces without linear s...
In this article, we investigate the uniqueness problems of difference operators of two meromorphic functions. Uniqueness of a meromorphic function f n and its difference operator...
Park et al. proved the Hyers-Ulam stability of some additive functional inequalities. There is a fatal error in the proof of Theorem 3.1. We revise the statements of the main theorems and prove the revised the...
In this article, we establish a class of small deviation theorems for functionals of random fields and the strong law of large numbers for the ordered couple of states for arbitrary random fields on homogenous...
Consider the semiparametric regression model Y i = x i β + g (t i ) + ε i ...
This article mainly concerns double obstacle problems for second order divergence type elliptic equation divA(x, u, ▽u) = divf(x). We give local boundedness for very weak solutions of double obstacle problems.
In this article, we discuss the boundedness of (k + 1)-linear fractional integrals with variable kernels on product L p spaces. Our results improved some known results.
In this article, we introduce and study a new system of generalized quasi-variational-like inclusions with noncompact valued mappings. By using the η- proximal mapping technique, we prove the existence of solutio...
In the setup of locally convex spaces, applying Caristi's results we prove some fixed point results for non-self multivalued maps and common fixed point theorems for Caristi type maps utilizing two different t...
In this article, we define the notion of statistical convergence, statistical Cauchy and strongly p-Cesàro summability in a paranormed space. We establish some relations between them.
Iterative algorithms have been extensively studied over the class of nonexpansive mappings in Hilbert spaces. Recall that nonexpansive mappings belong to quasi-nonexpansive mappings. The aim of this article is...
The purpose of this article is to establish some new approximation theorems of common fixed points for a countable family of total asymptotically quasi-nonexpansive mappings in Banach spaces which generalize a...
In this article, the univalent Meijer's G-functions are classified into three types. Certain integral, differential or differintegral transformations preserving the univalence of the Meijer's G-functions, have be...
In this paper, we introduce the notions of γ-homomorphism and γ-derivation of a ternary semigroup and investigate γ-homomorphism and γ-derivations on ternary semigroup associated with the following functional in-...
In this article, we consider the nonlinear viscoelastic equation
We first introduce and study a new family of weights, the A(α, β, γ; E)-class which contains the well-known A r (E)-weight as a proper subset. Then, as applications of the A(α, β
In this article we discuss some new generalized nonlinear Gronwall-Bellman-Type integral inequalities with two variables, which include a non-constant term outside the integrals. We use our result to deal with...
By introducing a real number homogeneous kernel and estimating the weight function through the real function techniques, a half-discrete inequality with a best constant factor is established. In addition, the ...
First we present and discuss an important proof of Hardy's inequality via Jensen's inequality which Hardy and his collaborators did not discover during the 10 years of research until Hardy finally proved his f...
Several new inequalities for differentiable co-ordinated convex and concave functions in two variables which are related to the left side of Hermite- Hadamard type inequality for co-ordinated convex functions ...
In this article, we deduce a new family of upper bounds of n! of the form
We obtain an extension of Pólya-type inequalities for univariate real polynomials in Orlicz spaces. We also give an application to a best local approximation problem.
In this article, we establish some impulsive differential and impulsive integral inequalities for integral jump conditions. The new jump conditions for impulse effects are related to the integral conditions of...
In this article, we characterize the surjective isometric composition operator C
φ
on the weighted Dirichlet-type spaces of the unit disk
...
In this article, we study the Hankel determinant problem of a subclass of analytic functions introduced recently by Arif et al.
In this article, Hadamard-type inequalities for product of s-convex in the second sense on the co-ordinates in a rectangle from the plane are established.
In this article, two new lemmas are proved and inequalities are established for co-ordinated convex functions and co-ordinated s-convex functions.
In this article, we obtain the necessary and sufficient conditions that the semi-invariant submanifold to be a locally warped product submanifold of invariant and anti-invariant submanifolds of a cosymplectic ...
This article aims to discuss Heinz inequalities involving unitarily invariant norms. We obtain refinements of the Heinz inequalities. In particular, our results refine some results given in Kittaneh.
Let X, X1, X2,... be a sequence of independent and identically distributed random variables in the domain of attraction of a normal distribution. A universal result in almost sure limit theorem for the self-norma...
In real reflexive separable Banach space which admits a weakly sequentially continuous duality mapping, the sufficient and necessary conditions that nonexpansive random self-mapping has a random fixed point ar...
The purpose of this article is to introduce the concept of 2-fuzzy n-normed linear space or fuzzy n-normed linear space of the set of all fuzzy sets of a non-empty set. We define the concepts of n-isometry, n-col...
In this investigation, motivated from Breaz study, we introduce a new family of integral operator using famous convolution technique. We also apply this newly defined operator for investigating some interestin...
By properties of the Schur-convex function, Schur-concavity for a class of symmetric functions is simply proved uniform.
We find the greatest value α and least value β in (1/ 2,1) such that the double inequality
Based on an abstract continuous theorem of k-set contractive operator and some analysis skill, a new result is obtained for the existence of positive periodic solutions to a neutral multi-delay logarithmic popula...
In this article, we introduce and consider the three-step iterative algorithms for solving a new system of generalized mixed variational inequalities involving different three multi-valued operators. In this s...
In this article, we consider the solutions of the system of generalized variational inequality problems in Banach spaces. By employing the generalized projection operator, the well-known Fan's KKM theorem and ...
We establish several sharper Lyapunov-type inequalities for the following even-order differential equation
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