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Convergence Theorems for Multivalued Mappings in
Spaces
We show strong and
convergence for Mann iteration of a multivalued nonexpansive mapping whose domain is a nonempty closed convex subset...
Essentially sharp Markov-type inequalities are known for various classes of polynomials with constraints including constraints of the coefficients of the polynomials. For
...
Let
,
, where
...
We establish strong convergence theorem for multi-step iterative scheme with errors for asymptotically nonexpansive mappings in the intermediate sense in Banach spaces. Our results extend and improve the recen...
-Monotone Operator Equations in Banach Spaces
We introduce and study a new class of nonlinear general
-monotone operator equations with multivalued operator. By using Alber's inequalities, N...
We establish a relation between the functions of bounded boundary and bounded radius rotations by using three different techniques. A well-known result is observed as a special case from our main result. An in...
A Hilbert-type linear operator
is defined. As for applications, a more precise operator inequality with the norm and its equivalent for...
-Series Involving
Basic Hypergeometric Series
We use inequality technique and the terminating case of the
-binomial formula to give some results on convergence of
The efficiency of the implicit method proposed by He (1999) depends on the parameter
heavily; while it varies for individual problem, t...
The Meda inequality for rearrangements of the convolution operator on the Heisenberg group
is proved. By using the Meda inequality, an O'Neil-t...
We first prove a generalized Wirtinger's inequality. Then, applying the inequality, we study estimates for lower bounds of periods of periodic solutions for a class of delay differential equations
-Valently Starlike Functions
In this investigation, the authors prove coefficient bounds, distortion inequalities for fractional calculus of a family of multivalent functions with negative coefficients, which is defined by means of a cert...
Several subclasses of meromorphic functions in the unit disk are introduced by means of convolution with a given fixed meromorphic function. Subjecting each convoluted-derived function in the class to be subor...
-Lipschitzian Semigroup of Pseudocontractive Mappings in Banach Spaces
We study the strong convergence of two kinds of viscosity iteration processes for approximating common fixed points of the pseudocontractive semigroup in uniformly convex Banach spaces with uniformly Gâteaux d...
We introduce and study a new class of general nonlinear random multivalued operator equations involving generalized
-accretive mappings in Banac...
We present some sufficient conditions for which a Banach space
has normal structure in terms of the modulus of
...
By using singular value decomposition and majorization inequalities, we propose new inequalities for the trace of the product of two arbitrary real square matrices. These bounds improve and extend the recent r...
A general inequality involving powers of the numerical radius for sums and products of Hilbert space operators is given. This inequality generalizes several recent inequalities for the numerical radius, and in...
A new singular impulsive delay differential inequality is established. Using this inequality, the invariant and attracting sets for impulsive neutral neural networks with delays are obtained. Our results can e...
The existence of common fixed points is established for the mappings, where
is
...
Using the series-expansion of digamma functions and other techniques, some monotonicity and logarithmical concavity involving the ratio of gamma function are obtained, which is to give a partially affirmative ...
With the help of the continuation theorem of the coincidence degree, a priori estimates, and differential inequalities, we make a further investigation of a class of planar systems, which is generalization of ...
By using the way of weight coefficient and the theory of operators, we define a Hilbert-type operator with a class of homogeneous kernels and obtain its norm. As applications, an extended basic theorem on Hilb...
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the generalized quadratic functional equation
in Banach ...
Invariant Monotonicity and Generalized
Invexity of Nondifferentiable Functions
New concepts of generalized
invex functions for non-differentiable functions and generalized
...
-Laplacian Systems
We study the multiplicity of solutions for a class of Hamiltonian systems with the
-Laplacian. Under suitable assumptions, we obtain a s...
Log-convexity of Favard's difference is proved, and Drescher's and Lyapunov's type inequalities for this difference are deduced. The weighted case is also considered. Related Cauchy type means are defined, and...
A generalized quasilinearization technique is developed to obtain a sequence of approximate solutions converging monotonically and quadratically to a unique solution of a boundary value problem involving Duffi...
We investigate the stability of the bi-Jensen functional equation II
We derive new nonlinear discrete analogue of the continuous Halanay-type inequality. These inequalities can be used as basic tools in the study of the global asymptotic stability of the equilibrium of certain ...
We establish some new nonlinear Gronwall-Bellman-Ou-Iang type integral inequalities with two variables. These inequalities generalize former results and can be used as handy tools to study the qualitative as w...
We discuss log-convexity for the differences of the Popoviciu inequalities and introduce some mean value theorems and related results. Also we give the Cauchy means of the Popoviciu type and we show that these...
We define a new general integral operator using Al-Oboudi differential operator. Also we introduce new subclasses of analytic functions. Our results generalize the results of Breaz, Güney, and Sălăgean.
-Jordan Homomorphisms on Banach Algebras
Let
, and let
be two rings. An additive map
We establish norm comparison inequalities with the Lipschitz norm and the BMO norm for the composition of the homotopy operator and the projection operator applied to differential forms satisfying the A-harmonic ...
-Euler Polynomials
The aim of this paper is to construct
-adic twisted two-variable Euler-(
-Integral
We give a sufficient condition for the interchangeability of the order of sum and
-integral by using inequality technique. As the applic...
The Schur convexity and Schur-geometric convexity of generalized Heronian means involving two parameters are studied, the main result is then used to obtain several interesting and significantly inequalities f...
We prove the regularity for solutions of parabolic hemivariational inequalities of dynamic elasticity in the strong sense and investigate the continuity of the solution mapping from initial data and forcing te...
For certain families of multivariable vector-valued functions to be approximated, the accuracy of approximation schemes made up of linear combinations of computational units containing adjustable parameters is...
Using fixed point methods, we prove the generalized Hyers-Ulam stability of the following functional inequalities
and
Sharp bounds for
are derived for certain classes
and
We introduce an iterative scheme by the viscosity approximate method for finding a common element of the set of solutions of a variational inclusion with set-valued maximal monotone mapping and inverse strongl...
The main aim of the present paper is to establish various sharp upper bounds for the Euclidean operator radius of an
-tuple of bounded l...
Painleve-Kuratowski convergence of the solution sets is investigated for the perturbed set-valued weak vector variational inequalities with a sequence of mappings converging continuously. The closedness and Pa...
In the paper "On logarithmic convexity for power sums and related results" (2008), we introduced means by using power sums and increasing function. In this paper, we will define new means of convex type in con...
Recently, the stability of the cubic functional equation
in fuzzy normed spaces was proved in earlier work; and the stability of the additive f...
The Erratum to this article has been published in Journal of Inequalities and Applications 2009 2009:214530
Let
be a holomorphic self-map and let
be a holomorphic fun...
Differential subordination methods are used to obtain several interesting subordination results and best dominants for higher-order derivatives of
Let
be an analytic self-map of the unit disk
, let
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