Page 89 of 101
Necessary and sufficient conditions are established for oscillation of second-order neutral impulsive differential equation
,
We study the complete convergence for negatively dependent sequences of random variables. As a result, we extend some complete convergence theorems for independent random variables to the case of negatively de...
-Harmonic Equations and 1-Harmonic Equations
We prove a characterization of a nonhomogeneous A-harmonic equation and describe its generalization. We also point out its connection with 1-Harmonic equation.
-Nonexpansive Mapping and Relatively Nonexpansive Mapping
We prove a strong convergence theorem for finding a common element of the set of solutions for generalized equilibrium problems, the set of fixed points of a relatively nonexpansive mapping, and the set of fix...
to
in the Unit Ball
Let
be the unit ball of
and
...
Cădariu and Radu applied the fixed point theorem to prove the stability theorem of Cauchy and Jensen functional equations. In this paper, we prove the generalized Hyers-Ulam stability via the fixed point metho...
Wiman's theorem says that an entire holomorphic function of order less than 1/2 has a minimum modulus converging to
along a sequence. Arima's t...
to
Let
and
be the usual spaces of n-dimensional column and m-...
The results of the recent published paper by Masjed-Jamei et al. (2009) are extended to a larger class and some of subclasses are studied in the sequel. In other words, we generalize the well known Cauchy-Schw...
The purpose of this paper is to present a regularization variant of the inertial proximal point algorithm for finding a common element of the set of solutions for a variational inequality problem involving a h...
The initial boundary value problem for a class of nonlinear higher-order wave equation with damping and source term
in a bounded domain...
The purpose of this paper is to introduce an iterative method for finding solutions of a general system of variational inclusions with inverse-strongly accretive mappings. Strong convergence theorems are estab...
The main objective of this paper is a study of some new generalizations of Hilbert's and Hardy-Hilbert's type inequalities. We apply our general results to homogeneous functions. We shall obtain, in a similar ...
-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations
We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations. We construct finite element spaces on which we develop f...
We establish some maximal inequalities for demimartingales which generalize the result of Wang (2004). The maximal inequality for demimartingales is used as a key inequality to establish other results includin...
We introduce a new iterative scheme with a countable family of nonexpansive mappings for the variational inequality problems in Hilbert spaces and prove some strong convergence theorems for the proposed schemes.
This paper investigates the nonlinear boundary value problem for a class of first-order impulsive functional differential equations. By establishing a comparison result and utilizing the method of upper and lo...
We obtain the Hyers-Ulam stability of a bi-Jensen functional equation:
and simultaneously
...
We introduce a general iterative method for finding the solution of the variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert space. We prove that the sequence conver...
The purpose of this work is to introduce an iterative method for finding a common element of a solution set of a generalized equilibrium problem, of a solution set solutions of a variational inequality problem...
-Growth
We study the nonlinear parabolic problem with
-growth conditions in the space
...
We deal with the approximate controllability for the nonlinear functional differential equation governed by the variational inequality in Hilbert spaces and present a general theorems under which previous resu...
We establish some new Ostrowski-type integral inequalities involving higher-order partial derivatives. As applications, we get some interrelated results. Our results provide new estimates on inequalities of th...
For
, the generalized logarithmic mean
, arithmetic mean
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation
in ...
We introduce a new iterative scheme for finding the common element of the set of solutions of the generalized equilibrium problems, the set of fixed points of an infinite family of nonexpansive mappings, and t...
We consider a hybrid projection algorithm basing on the shrinking projection method for two families of relatively weak quasi-nonexpansive mappings. We establish strong convergence theorems for approximating t...
We develop the weak-type and strong-type inequalities for potential operators under two-weight conditions to the versions of differential forms. We also obtain some estimates for potential operators applied to...
We present several matrix Kantorovich-type inequalities, which improve the results obtained in Liu and Neudecker (1996). Elementary methods suffice to prove the inequalities.
We established a new Hermit-Hadamard type inequality for GA-convex functions. As applications, we obtain two new Gautschi type inequalities for gamma function.
We apply an existence theorem of variational inclusion problem on metric spaces to study optimization problems, set-valued vector saddle point problems, bilevel problems, and mathematical programs with equilib...
We deal with the well-posedness for solutions of nonlinear integrodifferential equations of second-order in Hilbert spaces by converting the problem into the contraction mapping principle with more general con...
We investigate the general solution of the quadratic functional equation
, in the class of all functions between quasi-
...
Using the idea of Tikhonov's regularization, we present properties of the approximating curve for the split feasibility problem (SFP) and obtain the minimum-norm solution of SFP as the strong limit of the appr...
-Core and Absolute Equivalence of Double Sequences
The
-core of a double sequence has been defined and it is studied by many authors. In this paper, we have determined two permutations
The purpose of this paper is to consider the weak convergence of an iterative sequence for finding a common element in the set of solutions of generalized equilibrium problems, in the set of solutions of class...
-Laplacian Impulsive Integro-Differential System Periodic-Like Boundary Value Problems
This paper investigates the existence of solutions for weighted
-Laplacian impulsive integro-differential system periodic-like boundary value pr...
We introduce two iterative sequence for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a countable family of strict pseudocontractions in Hilbert Spac...
-Statistics in LIL
Let
be a
-statistic based on a symmetric kernel
-Averaging Domains
We prove both local and global Poincaré inequalities with Luxemburg norms for differential forms in
-averaging domains, which can be con...
This paper is concerned with the problem of delay-dependent stability analysis for discrete-time systems with interval-like time-varying delays. The problem is solved by applying a novel Lyapunov functional, a...
-Normed Spaces
We investigate the generalized Hyers-Ulam-Rassias stability problem in quasi-
-normed spaces and then the stability by using a subadditiv...
We obtain the generalized Hyers-Ulam stability of the Cauchy-Jensen functional equation
.
We prove some existence results of solutions for a new class of generalized bi-quasivariational inequalities (GBQVI) for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators defined...
Let
and
be sets of nonnegative integers. Let
For
, with
, the generalized Muirhead mean
...
Let
be a domain on an
-dimensional minimal submanifold in t...
For
, the generalized logarithmic mean
of two positive numb...
We denote by
and
the Bessel functions of the first and thi...
We propose a new projection algorithm for generalized variational inequality with multivalued mapping. Our method is proven to be globally convergent to a solution of the variational inequality problem, provid...
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