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Using the fixed point method, we prove the generalized Hyers-Ulam stability of the Cauchy additive functional inequality and of the Cauchy-Jensen additive functional inequality in fuzzy Banach spaces.
This paper investigates the existence of solutions and nonnegative solutions for prescribed variable exponent mean curvature impulsive system initialized boundary value problems. The proof of our main result i...
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...
We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations:
a...
In this paper, we establish a general refinement of the Becker-Stark inequalities by using the power series expansion of the tangent function via Bernoulli numbers and the property of a function involving Riem...
We consider the Hyers-Ulam stability of a class of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions, Fourier hyperfunctions, and Gelfand generalized func...
We consider a degenerate parabolic equation with logistic periodic sources. First, we establish the existence of nontrivial nonnegative periodic solutions by monotonicity method. Then by using Moser iterative ...
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 ...
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...
-Generalized Vector Variational-Like Inequalities
We introduce and study a class of
-generalized vector variational-like inequalities and a class of
...
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-
...
Some new upper and lower bounds on determinants are presented for diagonally dominant matrices and general
-matrices by using different ...
-Summability Factors for Infinite Series
A general theorem concerning the
—summability factors of infinite series has been proved.
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...
We obtain the superstability of the Pexiderized multiplicative functional equation
and investigate the stability of this equation in th...
-Duality Theorems for Convex Semidefinite Optimization Problems with Conic Constraints
A convex semidefinite optimization problem with a conic constraint is considered. We formulate a Wolfe-type dual problem for the problem for its
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation:
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...
By using the way of weight functions and the technic of real analysis, a multiple Hilbert-type integral operator with the homogeneous kernel of
-Lipschitzian Mappings in Banach Spaces
The purpose of this paper is to prove a strong convergence theorem for a finite family of uniformly
-Lipschitzian mappings in Banach spa...
We present a new method to study analytic inequalities involving
variables. Regarding its applications, we proved some well-known inequ...
We study some limit properties of the harmonic mean of random transition probability for a second-order nonhomogeneous Markov chain and a nonhomogeneous Markov chain indexed by a tree. As corollary, we obtain ...
Random Variable on Sugeno Measure Space
The definitions and properties of moment of
random variable are provided on Sugeno measure space. Then some important moment estimation...
The aim of this paper is devoted to obtain some sufficient conditions for the exponential stability in
...
We aim at giving a rich class of quasi-metrics from which we obtain as an application an interesting inequality for the Greens function of the fractional Laplacian in a smooth domain in ...
We give efficient algorithms, as well as sharp estimates, to compute the Kolmogorov distance between the binomial and Poisson laws with the same mean
The concept of essential component of weakly efficient solution set is introduced first. Then we obtain some sufficient conditions for the existence of an essential component or an essential weakly efficient s...
We shall introduce and construct explicitly the complementary Lidstone interpolating polynomial
of degree
...
We study the boundedness and compactness of differences of weighted composition operators on weighted Banach spaces in the unit ball of
In the previous paper by the first and the third authors, we present six algorithms for determining whether a given symmetric matrix is strictly copositive, copositive (but not strictly), or not copositive. Th...
A generalized Lazarevic's inequality is established. The applications of this generalized Lazarevic's inequality give some new lower bounds for logarithmic mean.
We give the best possible global bounds for a form of discrete Jensen's inequality. By some examples the fruitfulness of this result is shown.
th-Order Differential Equation with Retarded Argument
Necessary and sufficient conditions are found for oscillation of the solutions of a class of strongly superlinear and strongly sublinear differential equations of even order with retarded argument.
-Quasiclass A Operators
An operator
is called
-quasiclass
...
We introduce and discuss a class of generalized vector complementarity problems with moving cones. We discuss the existence results for the generalized vector complementarity problem under inclusive type condi...
Let
be a polynomial of degree
and for any real or complex ...
-Laplacian Problems with a Singular Weight Function
We estimate Lyapunov inequalities for a single equation, a cycled system and a coupled system of one-dimensional
-Laplacian problems wit...
We obtain the general solution and the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary
...
Let
denote the open unit disk in the complex plane and let
We solve the inhomogeneous differential equation of the form
, where
A new type Kantorovich variant of Bleimann-Butzer-Hahn operator
is introduced. Furthermore, the approximation properties of the operato...
We establish some generalizations of the recent Pečarić-Rajić-Dragomir-type inequalities by providing upper and lower bounds for the norm of a linear combination of elements in a normed linear space. Our resul...
We consider the Hilbert-type inequalities with nonconjugate parameters. The obtaining of the best possible constants in the case of nonconjugate parameters remains still open. Our generalization will include a...
-Accretive Mappings in Uniformly Smooth Banach Spaces
A new system of nonlinear fuzzy variational inclusions involving
-accretive mappings in uniformly smooth Banach spaces is introduced and studied...
For
, the power mean of order
of two positive numbers
We derive a new criterion for checking the global stability of periodic oscillation of bidirectional associative memory (BAM) neural networks with periodic coefficients and distributed delay, and find that the...
We prove the generalized Hyers-Ulam stability of homomorphisms and generalized derivations associated to the following functional equation
-Mixing Sequences of Random Variables
We study almost sure convergence for
-mixing sequences of random variables. Many of the previous results are our special cases. For exam...
We give sufficient conditions so that all solutions of differential equations
, and
...
Sobolev Inequality
The best constants
of Sobolev embedding of
into
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