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By using the iterative technique and Nadler's theorem, we construct a new iterative algorithm for solving a system of nonlinear inclusions in Banach spaces. We prove some new existence results of solutions for...
We describe a semigroup of abstract semilinear functional differential equations with infinite delay by the use of the Crandall Liggett theorem. We suppose that the linear part is not necessarily densely defin...
Two new fractal measures
and
are constructed from Minkowski ...
We show that a function in the variable exponent Sobolev spaces coincides with a Hölder continuous Sobolev function outside a small exceptional set. This gives us a method to approximate a Sobolev function wit...
The purpose of the present paper is to obtain the sandwich-type theorem which contains the subordination- and superordination-preserving properties for certain integral operators defined on the space of normal...
We present an extragradient method for fixed point problems and variational inequality problems. Using this method, we can find the common element of the set of fixed points of a nonexpansive mapping and the s...
Let
be an Abelain semigroup,
, and let
...
We consider a numerical method for proving a class of analytical inequalities via minimax rational approximations. All numerical calculations in this paper are given by Maple computer program.
The continuity of some multilinear operators related to certain convolution operators on the Triebel-Lizorkin space is obtained. The operators include Littlewood-Paley operator and Marcinkiewicz operator.
We prove the generalized Hyers‐Ulam stability of the following functional inequalities:
,
...
A new kind of duality between intersection bodies and projection bodies is presented. Furthermore, some inequalities for mixed intersection bodies are established. A geometric inequality is derived between the...
We consider subdivisions of a convex body
in two subsets
and
-isometries on Linear
-normed Banach Spaces
We prove the generalized Hyers-Ulam stability of additive
-isometries on linear
We characterize the pairs of weights
for which the Hardy-Steklov-type operator
...
We establish a criterion for the global exponential stability of the zero solution of the scalar retarded functional differential equation
Let
and
be the mean and the standard deviation of the components of the vect...
We consider continuously differentiable means, say
-means. As for quasi-arithmetic means
...
Motivated by the problem of R. Ger, we show that the generalized Gołąb-Schinzel equation is superstable in the class of functions hemicontinuous at the origin. As a consequence, we obtain the form of approxima...
Let
be the unit polydisc of
and
...
Let
be the
th power mean of a sequence
...
Let (
) be a Polish space,
the family of all nonempty closed ...
The estimation of the positive definite solutions to perturbed discrete Lyapunov equations is discussed. Several upper bounds of the positive definite solutions are obtained when the perturbation parameters ar...
-preinvex-type functions
Some properties of
-preinvexity for vector-valued functions are given and interrelations among
...
We study extended Hardy inequalities using Littlewood-Paley theory and nonlinear estimates' method in Besov spaces. Our results improve and extend the well-known results of Cazenave (2003).
We establish a new inequality of Hilbert type for a finite double number of nonnegative sequences of real numbers and some interrelated results, which are inverse and general forms of Pachpatte's and Handley's...
We study an implicit predictor-corrector iteration process for finitely many asymptotically quasi-nonexpansive self-mappings on a nonempty closed convex subset of a Banach space ...
We show the boundedness of fractional integral operators by means of extrapolation. We also show that our result is sharp.
The concepts
and
for double sequences were introduced by Patterson in 1999. ...
We deal with a conditional functional inequality
, where
is a given orthogona...
By introducing some parameters and norm
, we give multiple Hardy-Hilbert integral inequalities, and prove that their constant factors are...
affine isoperimetric inequalities
We establish some inequalities for the dual
-centroid bodies which are the dual forms of the results by Lutwak, Yang, and Zhang. Further, we esta...
We deal with the stability of the orthogonality preserving property in the class of mappings phase-equivalent to linear or conjugate-linear ones. We give a characterization of approximately orthogonality prese...
We establish the
-boundedness for a class of singular integral operators and a class of related maximal operators when their singular kernels are...
A new mathematical model of generalized vector quasiequilibrium problem with set-valued mappings is introduced, and several existence results of a solution for the generalized vector quasiequilibrium problem w...
Fractal methodology provides a general frame for the understanding of real-world phenomena. In particular, the classical methods of real-data interpolation can be generalized by means of fractal techniques. In...
The purpose of this paper is to prove several results in approximation by complex Picard, Poisson-Cauchy, and Gauss-Weierstrass singular integrals with Jackson-type rate, having the quality of preservation of ...
spaces to
-Bloch spaces on the unit ball
Let
denote the space of all holomorphic functions on the unit ball
. We inves...
We give a new interpretation of Hua's inequality and its generalization. From this interpretation, we know the best possibility of those inequalities.
We develop an iterative algorithm for computing the approximate solutions of mixed quasi-variational-like inequality problems with skew-symmetric terms in the setting of reflexive Banach spaces. We use Fan-KKM...
We establish
estimates for certain class of maximal functions with kernels in
-spaces and maximal
-regular differential-operator equations
The embedding theorems in anisotropic Besov-Lions type spaces
are studied; here
We establish a relation between the notion of an operator of an analytic semigroup and matrix transformations mapping from a set of sequences into
Let
be a closed convex subset of a real Banach space
,
We are concerned with the oscillatory and nonoscillatory behavior of solutions of even-order quasilinear functional differential equations of the type
-accretive mappings in Banach spaces
Based on the notion of
-accretive mappings and the resolvent operators associated with
...
Let
be a Borel measure on
which may be nondoubling. The only condition that
We consider two quasistatic frictionless contact problems for viscoelastic bodies with long memory. In the first problem the contact is modelled with Signorini's conditions and in the second one is modelled wi...
For
, let
and
We obtain global estimates for various integral transforms of positive differentiable functions that satisfy inequalities of the type
, for
Recently, there have been many authors, who established a number of inequalities involving Khatri-Rao and Hadamard products of two positive matrices. In this paper, the results are established in the following...
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08 May 2020
04 September 2019
