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We prove some common fixed point theorems for left reversible and near-commutative semigroups in compact and complete metric spaces, respectively. As applications, we get the existence and uniqueness of soluti...
A general method is given in order to guarantee at least one nontrivial solution, as well as infinitely many radially symmetric solutions, for an abstract class of hemivariational inequalities. This abstract c...
We establish optimal, in a sense, conditions under which, for arbitrary forcing terms from a suitable class, a linear inhomogeneous functional differential equation in a preordered Banach space possesses solut...
We develop an inequality for the expectation of a product of
random variables generalizing the recent work of Dedecker and Doukhan (2003) and th...
The new extension of the weighted Montgomery identity is given by using Fink identity and is used to obtain some Ostrowski-type inequalities and estimations of the difference of two integral means.
We will prove the Hyers-Ulam stability of the Butler-Rassias functional equation following an idea by M. T. Rassias.
Let
denote the space of all holomorphic functions on the unit ball
. In this ...
We consider a prototype of quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. We provide a generalizati...
-harmonic tensors
We prove Poincaré-type estimates involving the Hodge codifferential operator and Green's operator acting on conjugate
-harmonic tensors.
We give a refinement of the Poincaré inequality for Kolmogorov operators on
. This refinement yields some regularity result of the corresponding ...
The inequality discovered by L. K. Hua in 1965 has been generalized in several directions. In this paper, we adopt a certain conjugate method to give a simple and fundamental inequality on two functions on a s...
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