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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 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...
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.
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...
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 ...
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...
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